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Finding the Fourth Proportional to 791.84, 1,092.94 and 442.56

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Solution

The fourth proportional to 791.84, 1,092.94 and 442.56 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,092.94 = 442.56 : x
  2. Step 2: Convert to fraction form
    791.84/1,092.94 = 442.56/x
  3. Step 3: Cross multiply
    791.84x = 1,092.94 × 442.56
  4. Step 4: Simplify right side
    791.84x = 483,691.53
  5. Step 5: Solve for x
    x = 483,691.53/791.84
  6. Step 6: Final answer
    x = 610.85

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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.