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Finding the Fourth Proportional to 721.72, 1,082.61 and 259.61

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Solution

The fourth proportional to 721.72, 1,082.61 and 259.61 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.72 : 1,082.61 = 259.61 : x
  2. Step 2: Convert to fraction form
    721.72/1,082.61 = 259.61/x
  3. Step 3: Cross multiply
    721.72x = 1,082.61 × 259.61
  4. Step 4: Simplify right side
    721.72x = 281,059.09
  5. Step 5: Solve for x
    x = 281,059.09/721.72
  6. Step 6: Final answer
    x = 389.43

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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.