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Finding the Fourth Proportional to 791.26, 1,092.01 and 459.66

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Solution

The fourth proportional to 791.26, 1,092.01 and 459.66 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.26 : 1,092.01 = 459.66 : x
  2. Step 2: Convert to fraction form
    791.26/1,092.01 = 459.66/x
  3. Step 3: Cross multiply
    791.26x = 1,092.01 × 459.66
  4. Step 4: Simplify right side
    791.26x = 501,953.32
  5. Step 5: Solve for x
    x = 501,953.32/791.26
  6. Step 6: Final answer
    x = 634.37

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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.