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Finding the Fourth Proportional to 773.08, 1,067.34 and 691

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Solution

The fourth proportional to 773.08, 1,067.34 and 691 is: 954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.08 : 1,067.34 = 691 : x
  2. Step 2: Convert to fraction form
    773.08/1,067.34 = 691/x
  3. Step 3: Cross multiply
    773.08x = 1,067.34 × 691
  4. Step 4: Simplify right side
    773.08x = 737,531.94
  5. Step 5: Solve for x
    x = 737,531.94/773.08
  6. Step 6: Final answer
    x = 954.02

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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.