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Finding the Fourth Proportional to 667.62, 999.50 and 461.79

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Solution

The fourth proportional to 667.62, 999.50 and 461.79 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.62 : 999.50 = 461.79 : x
  2. Step 2: Convert to fraction form
    667.62/999.50 = 461.79/x
  3. Step 3: Cross multiply
    667.62x = 999.50 × 461.79
  4. Step 4: Simplify right side
    667.62x = 461,556.80
  5. Step 5: Solve for x
    x = 461,556.80/667.62
  6. Step 6: Final answer
    x = 691.35

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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.