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Finding the Fourth Proportional to 791.78, 1,092.57 and 460.22

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Solution

The fourth proportional to 791.78, 1,092.57 and 460.22 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.78 : 1,092.57 = 460.22 : x
  2. Step 2: Convert to fraction form
    791.78/1,092.57 = 460.22/x
  3. Step 3: Cross multiply
    791.78x = 1,092.57 × 460.22
  4. Step 4: Simplify right side
    791.78x = 502,822.57
  5. Step 5: Solve for x
    x = 502,822.57/791.78
  6. Step 6: Final answer
    x = 635.05

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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.