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Finding the Fourth Proportional to 791.27, 1,091.87 and 459.63

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Solution

The fourth proportional to 791.27, 1,091.87 and 459.63 is: 634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.27 : 1,091.87 = 459.63 : x
  2. Step 2: Convert to fraction form
    791.27/1,091.87 = 459.63/x
  3. Step 3: Cross multiply
    791.27x = 1,091.87 × 459.63
  4. Step 4: Simplify right side
    791.27x = 501,857.36
  5. Step 5: Solve for x
    x = 501,857.36/791.27
  6. Step 6: Final answer
    x = 634.24

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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.