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Finding the Fourth Proportional to 844.29, 1,165.11 and 550.05

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Solution

The fourth proportional to 844.29, 1,165.11 and 550.05 is: 759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.29 : 1,165.11 = 550.05 : x
  2. Step 2: Convert to fraction form
    844.29/1,165.11 = 550.05/x
  3. Step 3: Cross multiply
    844.29x = 1,165.11 × 550.05
  4. Step 4: Simplify right side
    844.29x = 640,868.76
  5. Step 5: Solve for x
    x = 640,868.76/844.29
  6. Step 6: Final answer
    x = 759.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.