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How heavy is 711.06 carats?

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It's about one-and-one-tenth times as heavy as a Baseball.
In other words, 711.06 carats is 1.0042380487789 times the weight of a Baseball, and the weight of a Baseball is 0.995779836479950 times that amount.
(MLB rules)
Per Major League Baseball rules, a baseball must weigh between 690.789473685330 carats and 725.32894736960 carats. A major league pitcher can throw a baseball at up to 150 kph (91 mph) (with a fastball pitch), with record-setting pitches as fast as 171 kph (106 mph).
It's about one-and-one-tenth times as heavy as a Battery (D).
In other words, 711.06 carats is 1.08 times the weight of a Battery (D), and the weight of a Battery (D) is 0.9260 times that amount.
(Alkaline)
A "D" size battery weighs 658 carats. The D size battery is the oldest of the modern battery sizes, first invented by the National Carbon Company in 1898.
It's about nine-tenths as heavy as a Billiard Ball.
In other words, 711.06 carats is 0.895081739128980 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 1.11721640190440 times that amount.
(American-style, WPA specifications)
Per the World Pool-Billiard Association, a billiard ball weight must weigh between 759.868421053870 carats and 828.94736842240 carats. According to legend, the difficulty in obtaining elephant ivory for the manufacture of billiard balls in the 19th century inspired the search for a replacement material, which led to the development of the first industrial plastic.
It's about nine-tenths as heavy as a Puck (Hockey).
In other words, 711.06 carats is 0.895081739128980 times the weight of a Puck (Hockey), and the weight of a Puck (Hockey) is 1.11721640190440 times that amount.
(Ice hockey)
A standard ice hockey puck weighs between 759.868421053870 carats and 828.94736842240 carats. Hockey pucks can be shot or passed at speeds of up to 160 kph (99 mph) during games.
It's about seven-tenths as heavy as a Hamster.
In other words, the weight of a Hamster is 1 times 711.06 carats.
(for Syrian hamster, a.k.a. golden hamster, a.k.a. Mesocricetus auratus; adult)
An adult Syrian hamster has a typical weight of about 1,000 carats. Known for transporting food in the pouches of their cheeks so that they can bury it later, some hamsters can store up to 100,000 carats of food in their borrows.
It's about one-and-three-fifths times as heavy as a Deck of Cards.
In other words, the weight of a Deck of Cards is 0.630 times 711.06 carats.
(ISO 216 B8 size, a.k.a. "poker size" 63 x 88 mm, 52-card deck)
A deck of 52 ISO 216 B8-size playing cards weighs 460 carats. Utilizing nearly 3,700 decks, the record-holding largest card tower was built in early 2010, stood over 3.5 m (11 ft), and weighed over 1,100,000 carats.
It's about half as heavy as a Human Heart.
In other words, 711.06 carats is 0.470 times the weight of a Human Heart, and the weight of a Human Heart is 2.10 times that amount.
(human; adult)
The average human heart weighs about 1,500 carats. Each minute, the heart pumps between 10 and 20 liters (3 to 5 gallons) of blood through its chambers.