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Finding the Fourth Proportional to 773.48, 1,067.37 and 441.92

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Solution

The fourth proportional to 773.48, 1,067.37 and 441.92 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.48 : 1,067.37 = 441.92 : x
  2. Step 2: Convert to fraction form
    773.48/1,067.37 = 441.92/x
  3. Step 3: Cross multiply
    773.48x = 1,067.37 × 441.92
  4. Step 4: Simplify right side
    773.48x = 471,692.15
  5. Step 5: Solve for x
    x = 471,692.15/773.48
  6. Step 6: Final answer
    x = 609.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.