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Finding the Fourth Proportional to 844.09, 1,264.92 and 627.41

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Solution

The fourth proportional to 844.09, 1,264.92 and 627.41 is: 940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.09 : 1,264.92 = 627.41 : x
  2. Step 2: Convert to fraction form
    844.09/1,264.92 = 627.41/x
  3. Step 3: Cross multiply
    844.09x = 1,264.92 × 627.41
  4. Step 4: Simplify right side
    844.09x = 793,624.27
  5. Step 5: Solve for x
    x = 793,624.27/844.09
  6. Step 6: Final answer
    x = 940.22

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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.