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Finding the Fourth Proportional to 960.92, 1,440.27 and 467.57

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Solution

The fourth proportional to 960.92, 1,440.27 and 467.57 is: 700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.92 : 1,440.27 = 467.57 : x
  2. Step 2: Convert to fraction form
    960.92/1,440.27 = 467.57/x
  3. Step 3: Cross multiply
    960.92x = 1,440.27 × 467.57
  4. Step 4: Simplify right side
    960.92x = 673,430.64
  5. Step 5: Solve for x
    x = 673,430.64/960.92
  6. Step 6: Final answer
    x = 700.82

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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.