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Finding the Fourth Proportional to 667.12, 1,000.67 and 301.65

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Solution

The fourth proportional to 667.12, 1,000.67 and 301.65 is: 452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.12 : 1,000.67 = 301.65 : x
  2. Step 2: Convert to fraction form
    667.12/1,000.67 = 301.65/x
  3. Step 3: Cross multiply
    667.12x = 1,000.67 × 301.65
  4. Step 4: Simplify right side
    667.12x = 301,850.60
  5. Step 5: Solve for x
    x = 301,850.60/667.12
  6. Step 6: Final answer
    x = 452.47

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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.