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Finding the Fourth Proportional to 721.75, 1,082.78 and 288.91

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Solution

The fourth proportional to 721.75, 1,082.78 and 288.91 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.75 : 1,082.78 = 288.91 : x
  2. Step 2: Convert to fraction form
    721.75/1,082.78 = 288.91/x
  3. Step 3: Cross multiply
    721.75x = 1,082.78 × 288.91
  4. Step 4: Simplify right side
    721.75x = 312,825.97
  5. Step 5: Solve for x
    x = 312,825.97/721.75
  6. Step 6: Final answer
    x = 433.43

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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.