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Finding the Fourth Proportional to 881.06, 1,319.14 and 446.08

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Solution

The fourth proportional to 881.06, 1,319.14 and 446.08 is: 667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.06 : 1,319.14 = 446.08 : x
  2. Step 2: Convert to fraction form
    881.06/1,319.14 = 446.08/x
  3. Step 3: Cross multiply
    881.06x = 1,319.14 × 446.08
  4. Step 4: Simplify right side
    881.06x = 588,441.97
  5. Step 5: Solve for x
    x = 588,441.97/881.06
  6. Step 6: Final answer
    x = 667.88

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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.