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Finding the Fourth Proportional to 667.28, 1,000.96 and 342.56

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Solution

The fourth proportional to 667.28, 1,000.96 and 342.56 is: 513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 1,000.96 = 342.56 : x
  2. Step 2: Convert to fraction form
    667.28/1,000.96 = 342.56/x
  3. Step 3: Cross multiply
    667.28x = 1,000.96 × 342.56
  4. Step 4: Simplify right side
    667.28x = 342,888.86
  5. Step 5: Solve for x
    x = 342,888.86/667.28
  6. Step 6: Final answer
    x = 513.86

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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.