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Finding the Fourth Proportional to 732.97, 1,099.45 and 270.77

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Solution

The fourth proportional to 732.97, 1,099.45 and 270.77 is: 406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.97 : 1,099.45 = 270.77 : x
  2. Step 2: Convert to fraction form
    732.97/1,099.45 = 270.77/x
  3. Step 3: Cross multiply
    732.97x = 1,099.45 × 270.77
  4. Step 4: Simplify right side
    732.97x = 297,691.90
  5. Step 5: Solve for x
    x = 297,691.90/732.97
  6. Step 6: Final answer
    x = 406.15

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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.