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Finding the Fourth Proportional to 1,481.84, 2,223.15 and 441.80

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Solution

The fourth proportional to 1,481.84, 2,223.15 and 441.80 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.84 : 2,223.15 = 441.80 : x
  2. Step 2: Convert to fraction form
    1,481.84/2,223.15 = 441.80/x
  3. Step 3: Cross multiply
    1,481.84x = 2,223.15 × 441.80
  4. Step 4: Simplify right side
    1,481.84x = 982,195.74
  5. Step 5: Solve for x
    x = 982,195.74/1,481.84
  6. Step 6: Final answer
    x = 662.82

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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.