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Finding the Fourth Proportional to 667.82, 1,001.46 and 407.72

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Solution

The fourth proportional to 667.82, 1,001.46 and 407.72 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 1,001.46 = 407.72 : x
  2. Step 2: Convert to fraction form
    667.82/1,001.46 = 407.72/x
  3. Step 3: Cross multiply
    667.82x = 1,001.46 × 407.72
  4. Step 4: Simplify right side
    667.82x = 408,315.27
  5. Step 5: Solve for x
    x = 408,315.27/667.82
  6. Step 6: Final answer
    x = 611.42

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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.