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Finding the Fourth Proportional to 773.32, 1,067.54 and 496.84

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Solution

The fourth proportional to 773.32, 1,067.54 and 496.84 is: 685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.32 : 1,067.54 = 496.84 : x
  2. Step 2: Convert to fraction form
    773.32/1,067.54 = 496.84/x
  3. Step 3: Cross multiply
    773.32x = 1,067.54 × 496.84
  4. Step 4: Simplify right side
    773.32x = 530,396.57
  5. Step 5: Solve for x
    x = 530,396.57/773.32
  6. Step 6: Final answer
    x = 685.87

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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.