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Finding the Fourth Proportional to 791.43, 1,092.09 and 459.93

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Solution

The fourth proportional to 791.43, 1,092.09 and 459.93 is: 634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.43 : 1,092.09 = 459.93 : x
  2. Step 2: Convert to fraction form
    791.43/1,092.09 = 459.93/x
  3. Step 3: Cross multiply
    791.43x = 1,092.09 × 459.93
  4. Step 4: Simplify right side
    791.43x = 502,284.95
  5. Step 5: Solve for x
    x = 502,284.95/791.43
  6. Step 6: Final answer
    x = 634.65

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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.