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Finding the Fourth Proportional to 844.44, 1,265.27 and 773.59

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Solution

The fourth proportional to 844.44, 1,265.27 and 773.59 is: 1,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.44 : 1,265.27 = 773.59 : x
  2. Step 2: Convert to fraction form
    844.44/1,265.27 = 773.59/x
  3. Step 3: Cross multiply
    844.44x = 1,265.27 × 773.59
  4. Step 4: Simplify right side
    844.44x = 978,806.14
  5. Step 5: Solve for x
    x = 978,806.14/844.44
  6. Step 6: Final answer
    x = 1,159.11

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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.