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Finding the Fourth Proportional to 682.97, 1,024.11 and 292.91

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Solution

The fourth proportional to 682.97, 1,024.11 and 292.91 is: 439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 1,024.11 = 292.91 : x
  2. Step 2: Convert to fraction form
    682.97/1,024.11 = 292.91/x
  3. Step 3: Cross multiply
    682.97x = 1,024.11 × 292.91
  4. Step 4: Simplify right side
    682.97x = 299,966.94
  5. Step 5: Solve for x
    x = 299,966.94/682.97
  6. Step 6: Final answer
    x = 439.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.