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Finding the Fourth Proportional to 747.59, 1,032.09 and 499.73

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Solution

The fourth proportional to 747.59, 1,032.09 and 499.73 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.59 : 1,032.09 = 499.73 : x
  2. Step 2: Convert to fraction form
    747.59/1,032.09 = 499.73/x
  3. Step 3: Cross multiply
    747.59x = 1,032.09 × 499.73
  4. Step 4: Simplify right side
    747.59x = 515,761.18
  5. Step 5: Solve for x
    x = 515,761.18/747.59
  6. Step 6: Final answer
    x = 689.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.