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Finding the Fourth Proportional to 885.27, 1,327.67 and 422.96

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Solution

The fourth proportional to 885.27, 1,327.67 and 422.96 is: 634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.27 : 1,327.67 = 422.96 : x
  2. Step 2: Convert to fraction form
    885.27/1,327.67 = 422.96/x
  3. Step 3: Cross multiply
    885.27x = 1,327.67 × 422.96
  4. Step 4: Simplify right side
    885.27x = 561,551.30
  5. Step 5: Solve for x
    x = 561,551.30/885.27
  6. Step 6: Final answer
    x = 634.33

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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.