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Finding the Fourth Proportional to 732.14, 1,098.42 and 269.90

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Solution

The fourth proportional to 732.14, 1,098.42 and 269.90 is: 404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.14 : 1,098.42 = 269.90 : x
  2. Step 2: Convert to fraction form
    732.14/1,098.42 = 269.90/x
  3. Step 3: Cross multiply
    732.14x = 1,098.42 × 269.90
  4. Step 4: Simplify right side
    732.14x = 296,463.56
  5. Step 5: Solve for x
    x = 296,463.56/732.14
  6. Step 6: Final answer
    x = 404.93

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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.