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Finding the Fourth Proportional to 791.98, 1,091.82 and 497.05

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Solution

The fourth proportional to 791.98, 1,091.82 and 497.05 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.98 : 1,091.82 = 497.05 : x
  2. Step 2: Convert to fraction form
    791.98/1,091.82 = 497.05/x
  3. Step 3: Cross multiply
    791.98x = 1,091.82 × 497.05
  4. Step 4: Simplify right side
    791.98x = 542,689.13
  5. Step 5: Solve for x
    x = 542,689.13/791.98
  6. Step 6: Final answer
    x = 685.23

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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.