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Finding the Fourth Proportional to 791.64, 1,092.29 and 442.31

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Solution

The fourth proportional to 791.64, 1,092.29 and 442.31 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.64 : 1,092.29 = 442.31 : x
  2. Step 2: Convert to fraction form
    791.64/1,092.29 = 442.31/x
  3. Step 3: Cross multiply
    791.64x = 1,092.29 × 442.31
  4. Step 4: Simplify right side
    791.64x = 483,123.12
  5. Step 5: Solve for x
    x = 483,123.12/791.64
  6. Step 6: Final answer
    x = 610.28

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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.