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Finding the Fourth Proportional to 721.54, 1,082.13 and 288.46

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Solution

The fourth proportional to 721.54, 1,082.13 and 288.46 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.54 : 1,082.13 = 288.46 : x
  2. Step 2: Convert to fraction form
    721.54/1,082.13 = 288.46/x
  3. Step 3: Cross multiply
    721.54x = 1,082.13 × 288.46
  4. Step 4: Simplify right side
    721.54x = 312,151.22
  5. Step 5: Solve for x
    x = 312,151.22/721.54
  6. Step 6: Final answer
    x = 432.62

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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.