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Finding the Fourth Proportional to 721.37, 1,082.16 and 252.96

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Solution

The fourth proportional to 721.37, 1,082.16 and 252.96 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.37 : 1,082.16 = 252.96 : x
  2. Step 2: Convert to fraction form
    721.37/1,082.16 = 252.96/x
  3. Step 3: Cross multiply
    721.37x = 1,082.16 × 252.96
  4. Step 4: Simplify right side
    721.37x = 273,747.25
  5. Step 5: Solve for x
    x = 273,747.25/721.37
  6. Step 6: Final answer
    x = 379.49

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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.