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Finding the Fourth Proportional to 844.85, 1,267.83 and 297.03

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Solution

The fourth proportional to 844.85, 1,267.83 and 297.03 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.85 : 1,267.83 = 297.03 : x
  2. Step 2: Convert to fraction form
    844.85/1,267.83 = 297.03/x
  3. Step 3: Cross multiply
    844.85x = 1,267.83 × 297.03
  4. Step 4: Simplify right side
    844.85x = 376,583.54
  5. Step 5: Solve for x
    x = 376,583.54/844.85
  6. Step 6: Final answer
    x = 445.74

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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.