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Finding the Fourth Proportional to 791.59, 1,092.41 and 460.08

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Solution

The fourth proportional to 791.59, 1,092.41 and 460.08 is: 634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.59 : 1,092.41 = 460.08 : x
  2. Step 2: Convert to fraction form
    791.59/1,092.41 = 460.08/x
  3. Step 3: Cross multiply
    791.59x = 1,092.41 × 460.08
  4. Step 4: Simplify right side
    791.59x = 502,595.99
  5. Step 5: Solve for x
    x = 502,595.99/791.59
  6. Step 6: Final answer
    x = 634.92

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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.