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Finding the Fourth Proportional to 742.54, 1,024.65 and 410.97

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Solution

The fourth proportional to 742.54, 1,024.65 and 410.97 is: 567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.54 : 1,024.65 = 410.97 : x
  2. Step 2: Convert to fraction form
    742.54/1,024.65 = 410.97/x
  3. Step 3: Cross multiply
    742.54x = 1,024.65 × 410.97
  4. Step 4: Simplify right side
    742.54x = 421,100.41
  5. Step 5: Solve for x
    x = 421,100.41/742.54
  6. Step 6: Final answer
    x = 567.11

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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.