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Finding the Fourth Proportional to 677.88, 1,016.82 and 635.16

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Solution

The fourth proportional to 677.88, 1,016.82 and 635.16 is: 952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.88 : 1,016.82 = 635.16 : x
  2. Step 2: Convert to fraction form
    677.88/1,016.82 = 635.16/x
  3. Step 3: Cross multiply
    677.88x = 1,016.82 × 635.16
  4. Step 4: Simplify right side
    677.88x = 645,843.39
  5. Step 5: Solve for x
    x = 645,843.39/677.88
  6. Step 6: Final answer
    x = 952.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.