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Finding the Fourth Proportional to 844.66, 1,267.26 and 571.78

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Solution

The fourth proportional to 844.66, 1,267.26 and 571.78 is: 857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.66 : 1,267.26 = 571.78 : x
  2. Step 2: Convert to fraction form
    844.66/1,267.26 = 571.78/x
  3. Step 3: Cross multiply
    844.66x = 1,267.26 × 571.78
  4. Step 4: Simplify right side
    844.66x = 724,593.92
  5. Step 5: Solve for x
    x = 724,593.92/844.66
  6. Step 6: Final answer
    x = 857.85

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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.