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Finding the Fourth Proportional to 1,233.71, 1,702.23 and 791.76

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Solution

The fourth proportional to 1,233.71, 1,702.23 and 791.76 is: 1,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.71 : 1,702.23 = 791.76 : x
  2. Step 2: Convert to fraction form
    1,233.71/1,702.23 = 791.76/x
  3. Step 3: Cross multiply
    1,233.71x = 1,702.23 × 791.76
  4. Step 4: Simplify right side
    1,233.71x = 1,347,755.92
  5. Step 5: Solve for x
    x = 1,347,755.92/1,233.71
  6. Step 6: Final answer
    x = 1,092.44

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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.