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Finding the Fourth Proportional to 721.60, 1,082.10 and 234.52

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Solution

The fourth proportional to 721.60, 1,082.10 and 234.52 is: 351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 1,082.10 = 234.52 : x
  2. Step 2: Convert to fraction form
    721.60/1,082.10 = 234.52/x
  3. Step 3: Cross multiply
    721.60x = 1,082.10 × 234.52
  4. Step 4: Simplify right side
    721.60x = 253,774.09
  5. Step 5: Solve for x
    x = 253,774.09/721.60
  6. Step 6: Final answer
    x = 351.68

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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.