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Finding the Fourth Proportional to 960.72, 1,439.18 and 498.80

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Solution

The fourth proportional to 960.72, 1,439.18 and 498.80 is: 747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.72 : 1,439.18 = 498.80 : x
  2. Step 2: Convert to fraction form
    960.72/1,439.18 = 498.80/x
  3. Step 3: Cross multiply
    960.72x = 1,439.18 × 498.80
  4. Step 4: Simplify right side
    960.72x = 717,853.29
  5. Step 5: Solve for x
    x = 717,853.29/960.72
  6. Step 6: Final answer
    x = 747.21

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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.