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Finding the Fourth Proportional to 773.85, 1,067.89 and 442.25

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Solution

The fourth proportional to 773.85, 1,067.89 and 442.25 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.85 : 1,067.89 = 442.25 : x
  2. Step 2: Convert to fraction form
    773.85/1,067.89 = 442.25/x
  3. Step 3: Cross multiply
    773.85x = 1,067.89 × 442.25
  4. Step 4: Simplify right side
    773.85x = 472,274.35
  5. Step 5: Solve for x
    x = 472,274.35/773.85
  6. Step 6: Final answer
    x = 610.29

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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.