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Finding the Fourth Proportional to 773.45, 1,067.43 and 441.92

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Solution

The fourth proportional to 773.45, 1,067.43 and 441.92 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.45 : 1,067.43 = 441.92 : x
  2. Step 2: Convert to fraction form
    773.45/1,067.43 = 441.92/x
  3. Step 3: Cross multiply
    773.45x = 1,067.43 × 441.92
  4. Step 4: Simplify right side
    773.45x = 471,717.33
  5. Step 5: Solve for x
    x = 471,717.33/773.45
  6. Step 6: Final answer
    x = 609.89

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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.