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Finding the Fourth Proportional to 844.54, 1,267.48 and 382.35

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Solution

The fourth proportional to 844.54, 1,267.48 and 382.35 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.54 : 1,267.48 = 382.35 : x
  2. Step 2: Convert to fraction form
    844.54/1,267.48 = 382.35/x
  3. Step 3: Cross multiply
    844.54x = 1,267.48 × 382.35
  4. Step 4: Simplify right side
    844.54x = 484,620.02
  5. Step 5: Solve for x
    x = 484,620.02/844.54
  6. Step 6: Final answer
    x = 573.83

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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.