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Finding the Fourth Proportional to 732.52, 1,098.78 and 408.20

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Solution

The fourth proportional to 732.52, 1,098.78 and 408.20 is: 612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.52 : 1,098.78 = 408.20 : x
  2. Step 2: Convert to fraction form
    732.52/1,098.78 = 408.20/x
  3. Step 3: Cross multiply
    732.52x = 1,098.78 × 408.20
  4. Step 4: Simplify right side
    732.52x = 448,522.00
  5. Step 5: Solve for x
    x = 448,522.00/732.52
  6. Step 6: Final answer
    x = 612.30

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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.