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Finding the Fourth Proportional to 742.97, 1,025.28 and 411.39

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Solution

The fourth proportional to 742.97, 1,025.28 and 411.39 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.97 : 1,025.28 = 411.39 : x
  2. Step 2: Convert to fraction form
    742.97/1,025.28 = 411.39/x
  3. Step 3: Cross multiply
    742.97x = 1,025.28 × 411.39
  4. Step 4: Simplify right side
    742.97x = 421,789.94
  5. Step 5: Solve for x
    x = 421,789.94/742.97
  6. Step 6: Final answer
    x = 567.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.