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Finding the Fourth Proportional to 731.61, 1,098.24 and 457.86

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Solution

The fourth proportional to 731.61, 1,098.24 and 457.86 is: 687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.61 : 1,098.24 = 457.86 : x
  2. Step 2: Convert to fraction form
    731.61/1,098.24 = 457.86/x
  3. Step 3: Cross multiply
    731.61x = 1,098.24 × 457.86
  4. Step 4: Simplify right side
    731.61x = 502,840.17
  5. Step 5: Solve for x
    x = 502,840.17/731.61
  6. Step 6: Final answer
    x = 687.31

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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.