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Finding the Fourth Proportional to 1,296.30, 1,944.70 and 516.68

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Solution

The fourth proportional to 1,296.30, 1,944.70 and 516.68 is: 775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.30 : 1,944.70 = 516.68 : x
  2. Step 2: Convert to fraction form
    1,296.30/1,944.70 = 516.68/x
  3. Step 3: Cross multiply
    1,296.30x = 1,944.70 × 516.68
  4. Step 4: Simplify right side
    1,296.30x = 1,004,787.60
  5. Step 5: Solve for x
    x = 1,004,787.60/1,296.30
  6. Step 6: Final answer
    x = 775.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.