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Finding the Fourth Proportional to 960.22, 1,440.34 and 633.25

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Solution

The fourth proportional to 960.22, 1,440.34 and 633.25 is: 949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,440.34 = 633.25 : x
  2. Step 2: Convert to fraction form
    960.22/1,440.34 = 633.25/x
  3. Step 3: Cross multiply
    960.22x = 1,440.34 × 633.25
  4. Step 4: Simplify right side
    960.22x = 912,095.52
  5. Step 5: Solve for x
    x = 912,095.52/960.22
  6. Step 6: Final answer
    x = 949.88

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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.