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Finding the Fourth Proportional to 712.73, 1,067.69 and 635.33

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Solution

The fourth proportional to 712.73, 1,067.69 and 635.33 is: 951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 1,067.69 = 635.33 : x
  2. Step 2: Convert to fraction form
    712.73/1,067.69 = 635.33/x
  3. Step 3: Cross multiply
    712.73x = 1,067.69 × 635.33
  4. Step 4: Simplify right side
    712.73x = 678,331.74
  5. Step 5: Solve for x
    x = 678,331.74/712.73
  6. Step 6: Final answer
    x = 951.74

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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.