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Finding the Fourth Proportional to 885.72, 1,327.41 and 446.97

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Solution

The fourth proportional to 885.72, 1,327.41 and 446.97 is: 669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.72 : 1,327.41 = 446.97 : x
  2. Step 2: Convert to fraction form
    885.72/1,327.41 = 446.97/x
  3. Step 3: Cross multiply
    885.72x = 1,327.41 × 446.97
  4. Step 4: Simplify right side
    885.72x = 593,312.45
  5. Step 5: Solve for x
    x = 593,312.45/885.72
  6. Step 6: Final answer
    x = 669.86

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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.