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Finding the Fourth Proportional to 960.89, 1,441.11 and 440.78

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Solution

The fourth proportional to 960.89, 1,441.11 and 440.78 is: 661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.89 : 1,441.11 = 440.78 : x
  2. Step 2: Convert to fraction form
    960.89/1,441.11 = 440.78/x
  3. Step 3: Cross multiply
    960.89x = 1,441.11 × 440.78
  4. Step 4: Simplify right side
    960.89x = 635,212.47
  5. Step 5: Solve for x
    x = 635,212.47/960.89
  6. Step 6: Final answer
    x = 661.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.