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Finding the Fourth Proportional to 732.78, 1,099.35 and 408.42

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Solution

The fourth proportional to 732.78, 1,099.35 and 408.42 is: 612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.78 : 1,099.35 = 408.42 : x
  2. Step 2: Convert to fraction form
    732.78/1,099.35 = 408.42/x
  3. Step 3: Cross multiply
    732.78x = 1,099.35 × 408.42
  4. Step 4: Simplify right side
    732.78x = 448,996.53
  5. Step 5: Solve for x
    x = 448,996.53/732.78
  6. Step 6: Final answer
    x = 612.73

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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.