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Finding the Fourth Proportional to 773.50, 1,067.25 and 462.94

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Solution

The fourth proportional to 773.50, 1,067.25 and 462.94 is: 638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.50 : 1,067.25 = 462.94 : x
  2. Step 2: Convert to fraction form
    773.50/1,067.25 = 462.94/x
  3. Step 3: Cross multiply
    773.50x = 1,067.25 × 462.94
  4. Step 4: Simplify right side
    773.50x = 494,072.72
  5. Step 5: Solve for x
    x = 494,072.72/773.50
  6. Step 6: Final answer
    x = 638.75

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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.