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Finding the Fourth Proportional to 844.19, 1,266.92 and 324.56

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Solution

The fourth proportional to 844.19, 1,266.92 and 324.56 is: 487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,266.92 = 324.56 : x
  2. Step 2: Convert to fraction form
    844.19/1,266.92 = 324.56/x
  3. Step 3: Cross multiply
    844.19x = 1,266.92 × 324.56
  4. Step 4: Simplify right side
    844.19x = 411,183.60
  5. Step 5: Solve for x
    x = 411,183.60/844.19
  6. Step 6: Final answer
    x = 487.08

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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.