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Finding the Fourth Proportional to 732.77, 1,098.17 and 270.11

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Solution

The fourth proportional to 732.77, 1,098.17 and 270.11 is: 404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,098.17 = 270.11 : x
  2. Step 2: Convert to fraction form
    732.77/1,098.17 = 270.11/x
  3. Step 3: Cross multiply
    732.77x = 1,098.17 × 270.11
  4. Step 4: Simplify right side
    732.77x = 296,629.47
  5. Step 5: Solve for x
    x = 296,629.47/732.77
  6. Step 6: Final answer
    x = 404.81

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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.