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Finding the Fourth Proportional to 773.62, 1,067.67 and 442.09

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Solution

The fourth proportional to 773.62, 1,067.67 and 442.09 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.62 : 1,067.67 = 442.09 : x
  2. Step 2: Convert to fraction form
    773.62/1,067.67 = 442.09/x
  3. Step 3: Cross multiply
    773.62x = 1,067.67 × 442.09
  4. Step 4: Simplify right side
    773.62x = 472,006.23
  5. Step 5: Solve for x
    x = 472,006.23/773.62
  6. Step 6: Final answer
    x = 610.13

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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.