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Finding the Fourth Proportional to 1,037.10, 1,553.73 and 516.53

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Solution

The fourth proportional to 1,037.10, 1,553.73 and 516.53 is: 773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.10 : 1,553.73 = 516.53 : x
  2. Step 2: Convert to fraction form
    1,037.10/1,553.73 = 516.53/x
  3. Step 3: Cross multiply
    1,037.10x = 1,553.73 × 516.53
  4. Step 4: Simplify right side
    1,037.10x = 802,544.27
  5. Step 5: Solve for x
    x = 802,544.27/1,037.10
  6. Step 6: Final answer
    x = 773.83

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Why These Related Problems?

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