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Finding the Fourth Proportional to 844.44, 1,267.26 and 680.41

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Solution

The fourth proportional to 844.44, 1,267.26 and 680.41 is: 1,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.44 : 1,267.26 = 680.41 : x
  2. Step 2: Convert to fraction form
    844.44/1,267.26 = 680.41/x
  3. Step 3: Cross multiply
    844.44x = 1,267.26 × 680.41
  4. Step 4: Simplify right side
    844.44x = 862,256.38
  5. Step 5: Solve for x
    x = 862,256.38/844.44
  6. Step 6: Final answer
    x = 1,021.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.