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Finding the Fourth Proportional to 791.38, 1,092.45 and 756.55

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Solution

The fourth proportional to 791.38, 1,092.45 and 756.55 is: 1,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.38 : 1,092.45 = 756.55 : x
  2. Step 2: Convert to fraction form
    791.38/1,092.45 = 756.55/x
  3. Step 3: Cross multiply
    791.38x = 1,092.45 × 756.55
  4. Step 4: Simplify right side
    791.38x = 826,493.05
  5. Step 5: Solve for x
    x = 826,493.05/791.38
  6. Step 6: Final answer
    x = 1,044.37

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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.