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Finding the Fourth Proportional to 732.92, 1,099.34 and 410.33

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Solution

The fourth proportional to 732.92, 1,099.34 and 410.33 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.92 : 1,099.34 = 410.33 : x
  2. Step 2: Convert to fraction form
    732.92/1,099.34 = 410.33/x
  3. Step 3: Cross multiply
    732.92x = 1,099.34 × 410.33
  4. Step 4: Simplify right side
    732.92x = 451,084.63
  5. Step 5: Solve for x
    x = 451,084.63/732.92
  6. Step 6: Final answer
    x = 615.47

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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.