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Finding the Fourth Proportional to 732.74, 1,098.14 and 439.29

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Solution

The fourth proportional to 732.74, 1,098.14 and 439.29 is: 658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,098.14 = 439.29 : x
  2. Step 2: Convert to fraction form
    732.74/1,098.14 = 439.29/x
  3. Step 3: Cross multiply
    732.74x = 1,098.14 × 439.29
  4. Step 4: Simplify right side
    732.74x = 482,399.72
  5. Step 5: Solve for x
    x = 482,399.72/732.74
  6. Step 6: Final answer
    x = 658.35

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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.