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Finding the Fourth Proportional to 791.97, 1,092.96 and 442.64

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Solution

The fourth proportional to 791.97, 1,092.96 and 442.64 is: 610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.97 : 1,092.96 = 442.64 : x
  2. Step 2: Convert to fraction form
    791.97/1,092.96 = 442.64/x
  3. Step 3: Cross multiply
    791.97x = 1,092.96 × 442.64
  4. Step 4: Simplify right side
    791.97x = 483,782.35
  5. Step 5: Solve for x
    x = 483,782.35/791.97
  6. Step 6: Final answer
    x = 610.86

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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.