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There are exactly 0.001056688209 quarts in a gram of water.
There are exactly 946.352946 grams in a quart of water.
Definition of Quarts of water provided by Encyclopedia.com
a unit of liquid capacity equal to a quarter of a gallon or two pints, equivalent in the U.S. to approx. 0.94 liter and in Britain to approx. 1.13 liters
Definition of grams of water provided by Merriam-Webster
a metric unit of mass equal to ¹/₁₀₀₀ kilogram and nearly equal to the mass of one cubic centimeter of water at its maximum density