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Finding the Fourth Proportional to 721.50, 1,082.25 and 288.96

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Solution

The fourth proportional to 721.50, 1,082.25 and 288.96 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.50 : 1,082.25 = 288.96 : x
  2. Step 2: Convert to fraction form
    721.50/1,082.25 = 288.96/x
  3. Step 3: Cross multiply
    721.50x = 1,082.25 × 288.96
  4. Step 4: Simplify right side
    721.50x = 312,726.96
  5. Step 5: Solve for x
    x = 312,726.96/721.50
  6. Step 6: Final answer
    x = 433.44

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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.