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Finding the Fourth Proportional to 682.97, 1,023.82 and 272.38

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Solution

The fourth proportional to 682.97, 1,023.82 and 272.38 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 1,023.82 = 272.38 : x
  2. Step 2: Convert to fraction form
    682.97/1,023.82 = 272.38/x
  3. Step 3: Cross multiply
    682.97x = 1,023.82 × 272.38
  4. Step 4: Simplify right side
    682.97x = 278,868.30
  5. Step 5: Solve for x
    x = 278,868.30/682.97
  6. Step 6: Final answer
    x = 408.32

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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.