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Finding the Fourth Proportional to 773.82, 1,067.87 and 442.25

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Solution

The fourth proportional to 773.82, 1,067.87 and 442.25 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.82 : 1,067.87 = 442.25 : x
  2. Step 2: Convert to fraction form
    773.82/1,067.87 = 442.25/x
  3. Step 3: Cross multiply
    773.82x = 1,067.87 × 442.25
  4. Step 4: Simplify right side
    773.82x = 472,263.30
  5. Step 5: Solve for x
    x = 472,263.30/773.82
  6. Step 6: Final answer
    x = 610.31

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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.