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Finding the Fourth Proportional to 844.72, 1,266.22 and 432.97

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Solution

The fourth proportional to 844.72, 1,266.22 and 432.97 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.72 : 1,266.22 = 432.97 : x
  2. Step 2: Convert to fraction form
    844.72/1,266.22 = 432.97/x
  3. Step 3: Cross multiply
    844.72x = 1,266.22 × 432.97
  4. Step 4: Simplify right side
    844.72x = 548,235.27
  5. Step 5: Solve for x
    x = 548,235.27/844.72
  6. Step 6: Final answer
    x = 649.01

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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.