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Finding the Fourth Proportional to 844.67, 1,266.57 and 382.23

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Solution

The fourth proportional to 844.67, 1,266.57 and 382.23 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.67 : 1,266.57 = 382.23 : x
  2. Step 2: Convert to fraction form
    844.67/1,266.57 = 382.23/x
  3. Step 3: Cross multiply
    844.67x = 1,266.57 × 382.23
  4. Step 4: Simplify right side
    844.67x = 484,121.05
  5. Step 5: Solve for x
    x = 484,121.05/844.67
  6. Step 6: Final answer
    x = 573.15

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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.