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Finding the Fourth Proportional to 968.56, 1,452.84 and 480.96

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Solution

The fourth proportional to 968.56, 1,452.84 and 480.96 is: 721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,452.84 = 480.96 : x
  2. Step 2: Convert to fraction form
    968.56/1,452.84 = 480.96/x
  3. Step 3: Cross multiply
    968.56x = 1,452.84 × 480.96
  4. Step 4: Simplify right side
    968.56x = 698,757.93
  5. Step 5: Solve for x
    x = 698,757.93/968.56
  6. Step 6: Final answer
    x = 721.44

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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.