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Finding the Fourth Proportional to 732.28, 1,098.19 and 366.87

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Solution

The fourth proportional to 732.28, 1,098.19 and 366.87 is: 550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.28 : 1,098.19 = 366.87 : x
  2. Step 2: Convert to fraction form
    732.28/1,098.19 = 366.87/x
  3. Step 3: Cross multiply
    732.28x = 1,098.19 × 366.87
  4. Step 4: Simplify right side
    732.28x = 402,892.97
  5. Step 5: Solve for x
    x = 402,892.97/732.28
  6. Step 6: Final answer
    x = 550.19

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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.