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Finding the Fourth Proportional to 742.97, 1,024.82 and 585.43

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Solution

The fourth proportional to 742.97, 1,024.82 and 585.43 is: 807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.97 : 1,024.82 = 585.43 : x
  2. Step 2: Convert to fraction form
    742.97/1,024.82 = 585.43/x
  3. Step 3: Cross multiply
    742.97x = 1,024.82 × 585.43
  4. Step 4: Simplify right side
    742.97x = 599,959.27
  5. Step 5: Solve for x
    x = 599,959.27/742.97
  6. Step 6: Final answer
    x = 807.52

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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.