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Finding the Fourth Proportional to 729.72, 1,007.18 and 496.92

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Solution

The fourth proportional to 729.72, 1,007.18 and 496.92 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.72 : 1,007.18 = 496.92 : x
  2. Step 2: Convert to fraction form
    729.72/1,007.18 = 496.92/x
  3. Step 3: Cross multiply
    729.72x = 1,007.18 × 496.92
  4. Step 4: Simplify right side
    729.72x = 500,487.89
  5. Step 5: Solve for x
    x = 500,487.89/729.72
  6. Step 6: Final answer
    x = 685.86

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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.