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Finding the Fourth Proportional to 881.28, 1,214.72 and 724.16

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Solution

The fourth proportional to 881.28, 1,214.72 and 724.16 is: 998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.28 : 1,214.72 = 724.16 : x
  2. Step 2: Convert to fraction form
    881.28/1,214.72 = 724.16/x
  3. Step 3: Cross multiply
    881.28x = 1,214.72 × 724.16
  4. Step 4: Simplify right side
    881.28x = 879,651.64
  5. Step 5: Solve for x
    x = 879,651.64/881.28
  6. Step 6: Final answer
    x = 998.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.