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Finding the Fourth Proportional to 667.56, 1,001.99 and 321.14

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Solution

The fourth proportional to 667.56, 1,001.99 and 321.14 is: 482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.56 : 1,001.99 = 321.14 : x
  2. Step 2: Convert to fraction form
    667.56/1,001.99 = 321.14/x
  3. Step 3: Cross multiply
    667.56x = 1,001.99 × 321.14
  4. Step 4: Simplify right side
    667.56x = 321,773.66
  5. Step 5: Solve for x
    x = 321,773.66/667.56
  6. Step 6: Final answer
    x = 482.01

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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.