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Finding the Fourth Proportional to 667.14, 1,000.80 and 342.30

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Solution

The fourth proportional to 667.14, 1,000.80 and 342.30 is: 513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 1,000.80 = 342.30 : x
  2. Step 2: Convert to fraction form
    667.14/1,000.80 = 342.30/x
  3. Step 3: Cross multiply
    667.14x = 1,000.80 × 342.30
  4. Step 4: Simplify right side
    667.14x = 342,573.84
  5. Step 5: Solve for x
    x = 342,573.84/667.14
  6. Step 6: Final answer
    x = 513.50

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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.