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Finding the Fourth Proportional to 773.75, 1,067.78 and 498.23

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Solution

The fourth proportional to 773.75, 1,067.78 and 498.23 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.75 : 1,067.78 = 498.23 : x
  2. Step 2: Convert to fraction form
    773.75/1,067.78 = 498.23/x
  3. Step 3: Cross multiply
    773.75x = 1,067.78 × 498.23
  4. Step 4: Simplify right side
    773.75x = 532,000.03
  5. Step 5: Solve for x
    x = 532,000.03/773.75
  6. Step 6: Final answer
    x = 687.56

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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.