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Finding the Fourth Proportional to 742.74, 1,024.93 and 411.15

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Solution

The fourth proportional to 742.74, 1,024.93 and 411.15 is: 567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.74 : 1,024.93 = 411.15 : x
  2. Step 2: Convert to fraction form
    742.74/1,024.93 = 411.15/x
  3. Step 3: Cross multiply
    742.74x = 1,024.93 × 411.15
  4. Step 4: Simplify right side
    742.74x = 421,399.97
  5. Step 5: Solve for x
    x = 421,399.97/742.74
  6. Step 6: Final answer
    x = 567.36

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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.