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Finding the Fourth Proportional to 791.44, 1,092.18 and 442.19

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Solution

The fourth proportional to 791.44, 1,092.18 and 442.19 is: 610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.44 : 1,092.18 = 442.19 : x
  2. Step 2: Convert to fraction form
    791.44/1,092.18 = 442.19/x
  3. Step 3: Cross multiply
    791.44x = 1,092.18 × 442.19
  4. Step 4: Simplify right side
    791.44x = 482,955.46
  5. Step 5: Solve for x
    x = 482,955.46/791.44
  6. Step 6: Final answer
    x = 610.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.