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Finding the Fourth Proportional to 791.86, 1,091.66 and 496.92

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Solution

The fourth proportional to 791.86, 1,091.66 and 496.92 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.86 : 1,091.66 = 496.92 : x
  2. Step 2: Convert to fraction form
    791.86/1,091.66 = 496.92/x
  3. Step 3: Cross multiply
    791.86x = 1,091.66 × 496.92
  4. Step 4: Simplify right side
    791.86x = 542,467.69
  5. Step 5: Solve for x
    x = 542,467.69/791.86
  6. Step 6: Final answer
    x = 685.06

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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.