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Finding the Fourth Proportional to 960.58, 1,440.87 and 954.82

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Solution

The fourth proportional to 960.58, 1,440.87 and 954.82 is: 1,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.58 : 1,440.87 = 954.82 : x
  2. Step 2: Convert to fraction form
    960.58/1,440.87 = 954.82/x
  3. Step 3: Cross multiply
    960.58x = 1,440.87 × 954.82
  4. Step 4: Simplify right side
    960.58x = 1,375,771.49
  5. Step 5: Solve for x
    x = 1,375,771.49/960.58
  6. Step 6: Final answer
    x = 1,432.23

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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.