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Finding the Fourth Proportional to 791.31, 1,092.02 and 442

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Solution

The fourth proportional to 791.31, 1,092.02 and 442 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.31 : 1,092.02 = 442 : x
  2. Step 2: Convert to fraction form
    791.31/1,092.02 = 442/x
  3. Step 3: Cross multiply
    791.31x = 1,092.02 × 442
  4. Step 4: Simplify right side
    791.31x = 482,672.84
  5. Step 5: Solve for x
    x = 482,672.84/791.31
  6. Step 6: Final answer
    x = 609.97

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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.