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Finding the Fourth Proportional to 791.89, 1,193.85 and 744.91

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Solution

The fourth proportional to 791.89, 1,193.85 and 744.91 is: 1,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.89 : 1,193.85 = 744.91 : x
  2. Step 2: Convert to fraction form
    791.89/1,193.85 = 744.91/x
  3. Step 3: Cross multiply
    791.89x = 1,193.85 × 744.91
  4. Step 4: Simplify right side
    791.89x = 889,310.80
  5. Step 5: Solve for x
    x = 889,310.80/791.89
  6. Step 6: Final answer
    x = 1,123.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.