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Finding the Fourth Proportional to 791.75, 1,092.67 and 497.21

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Solution

The fourth proportional to 791.75, 1,092.67 and 497.21 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.75 : 1,092.67 = 497.21 : x
  2. Step 2: Convert to fraction form
    791.75/1,092.67 = 497.21/x
  3. Step 3: Cross multiply
    791.75x = 1,092.67 × 497.21
  4. Step 4: Simplify right side
    791.75x = 543,286.45
  5. Step 5: Solve for x
    x = 543,286.45/791.75
  6. Step 6: Final answer
    x = 686.18

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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.