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Finding the Fourth Proportional to 791.84, 1,092.84 and 497.12

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Solution

The fourth proportional to 791.84, 1,092.84 and 497.12 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,092.84 = 497.12 : x
  2. Step 2: Convert to fraction form
    791.84/1,092.84 = 497.12/x
  3. Step 3: Cross multiply
    791.84x = 1,092.84 × 497.12
  4. Step 4: Simplify right side
    791.84x = 543,272.62
  5. Step 5: Solve for x
    x = 543,272.62/791.84
  6. Step 6: Final answer
    x = 686.09

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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.