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Finding the Fourth Proportional to 742.82, 1,025.10 and 411.24

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Solution

The fourth proportional to 742.82, 1,025.10 and 411.24 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.82 : 1,025.10 = 411.24 : x
  2. Step 2: Convert to fraction form
    742.82/1,025.10 = 411.24/x
  3. Step 3: Cross multiply
    742.82x = 1,025.10 × 411.24
  4. Step 4: Simplify right side
    742.82x = 421,562.12
  5. Step 5: Solve for x
    x = 421,562.12/742.82
  6. Step 6: Final answer
    x = 567.52

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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.