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Finding the Fourth Proportional to 960.75, 1,440.86 and 344.34

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Solution

The fourth proportional to 960.75, 1,440.86 and 344.34 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,440.86 = 344.34 : x
  2. Step 2: Convert to fraction form
    960.75/1,440.86 = 344.34/x
  3. Step 3: Cross multiply
    960.75x = 1,440.86 × 344.34
  4. Step 4: Simplify right side
    960.75x = 496,146.59
  5. Step 5: Solve for x
    x = 496,146.59/960.75
  6. Step 6: Final answer
    x = 516.42

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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.