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Finding the Fourth Proportional to 773.35, 1,067.21 and 441.75

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Solution

The fourth proportional to 773.35, 1,067.21 and 441.75 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.35 : 1,067.21 = 441.75 : x
  2. Step 2: Convert to fraction form
    773.35/1,067.21 = 441.75/x
  3. Step 3: Cross multiply
    773.35x = 1,067.21 × 441.75
  4. Step 4: Simplify right side
    773.35x = 471,437.81
  5. Step 5: Solve for x
    x = 471,437.81/773.35
  6. Step 6: Final answer
    x = 609.61

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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.