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Finding the Fourth Proportional to 960.22, 1,439.43 and 874.62

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Solution

The fourth proportional to 960.22, 1,439.43 and 874.62 is: 1,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,439.43 = 874.62 : x
  2. Step 2: Convert to fraction form
    960.22/1,439.43 = 874.62/x
  3. Step 3: Cross multiply
    960.22x = 1,439.43 × 874.62
  4. Step 4: Simplify right side
    960.22x = 1,258,956.38
  5. Step 5: Solve for x
    x = 1,258,956.38/960.22
  6. Step 6: Final answer
    x = 1,311.12

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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.