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Finding the Fourth Proportional to 969.20, 1,337.12 and 791.84

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Solution

The fourth proportional to 969.20, 1,337.12 and 791.84 is: 1,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.20 : 1,337.12 = 791.84 : x
  2. Step 2: Convert to fraction form
    969.20/1,337.12 = 791.84/x
  3. Step 3: Cross multiply
    969.20x = 1,337.12 × 791.84
  4. Step 4: Simplify right side
    969.20x = 1,058,785.10
  5. Step 5: Solve for x
    x = 1,058,785.10/969.20
  6. Step 6: Final answer
    x = 1,092.43

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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.