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Finding the Fourth Proportional to 791.12, 1,091.48 and 459.42

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Solution

The fourth proportional to 791.12, 1,091.48 and 459.42 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.12 : 1,091.48 = 459.42 : x
  2. Step 2: Convert to fraction form
    791.12/1,091.48 = 459.42/x
  3. Step 3: Cross multiply
    791.12x = 1,091.48 × 459.42
  4. Step 4: Simplify right side
    791.12x = 501,447.74
  5. Step 5: Solve for x
    x = 501,447.74/791.12
  6. Step 6: Final answer
    x = 633.85

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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.