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Finding the Fourth Proportional to 732.54, 1,098 and 408.14

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Solution

The fourth proportional to 732.54, 1,098 and 408.14 is: 611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.54 : 1,098 = 408.14 : x
  2. Step 2: Convert to fraction form
    732.54/1,098 = 408.14/x
  3. Step 3: Cross multiply
    732.54x = 1,098 × 408.14
  4. Step 4: Simplify right side
    732.54x = 448,132.23
  5. Step 5: Solve for x
    x = 448,132.23/732.54
  6. Step 6: Final answer
    x = 611.75

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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.