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Finding the Fourth Proportional to 960.91, 1,440.25 and 440.97

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Solution

The fourth proportional to 960.91, 1,440.25 and 440.97 is: 660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.91 : 1,440.25 = 440.97 : x
  2. Step 2: Convert to fraction form
    960.91/1,440.25 = 440.97/x
  3. Step 3: Cross multiply
    960.91x = 1,440.25 × 440.97
  4. Step 4: Simplify right side
    960.91x = 635,105.52
  5. Step 5: Solve for x
    x = 635,105.52/960.91
  6. Step 6: Final answer
    x = 660.94

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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.