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Finding the Fourth Proportional to 732.38, 1,099.17 and 347.63

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Solution

The fourth proportional to 732.38, 1,099.17 and 347.63 is: 521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.38 : 1,099.17 = 347.63 : x
  2. Step 2: Convert to fraction form
    732.38/1,099.17 = 347.63/x
  3. Step 3: Cross multiply
    732.38x = 1,099.17 × 347.63
  4. Step 4: Simplify right side
    732.38x = 382,098.97
  5. Step 5: Solve for x
    x = 382,098.97/732.38
  6. Step 6: Final answer
    x = 521.73

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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.