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Finding the Fourth Proportional to 791.79, 1,092.27 and 460.09

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Solution

The fourth proportional to 791.79, 1,092.27 and 460.09 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.79 : 1,092.27 = 460.09 : x
  2. Step 2: Convert to fraction form
    791.79/1,092.27 = 460.09/x
  3. Step 3: Cross multiply
    791.79x = 1,092.27 × 460.09
  4. Step 4: Simplify right side
    791.79x = 502,542.50
  5. Step 5: Solve for x
    x = 502,542.50/791.79
  6. Step 6: Final answer
    x = 634.69

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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.