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Finding the Fourth Proportional to 791.83, 1,092.58 and 496.86

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Solution

The fourth proportional to 791.83, 1,092.58 and 496.86 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.83 : 1,092.58 = 496.86 : x
  2. Step 2: Convert to fraction form
    791.83/1,092.58 = 496.86/x
  3. Step 3: Cross multiply
    791.83x = 1,092.58 × 496.86
  4. Step 4: Simplify right side
    791.83x = 542,859.30
  5. Step 5: Solve for x
    x = 542,859.30/791.83
  6. Step 6: Final answer
    x = 685.58

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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.