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Finding the Fourth Proportional to 1,367.82, 2,052 and 443.21

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Solution

The fourth proportional to 1,367.82, 2,052 and 443.21 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.82 : 2,052 = 443.21 : x
  2. Step 2: Convert to fraction form
    1,367.82/2,052 = 443.21/x
  3. Step 3: Cross multiply
    1,367.82x = 2,052 × 443.21
  4. Step 4: Simplify right side
    1,367.82x = 909,456.66
  5. Step 5: Solve for x
    x = 909,456.66/1,367.82
  6. Step 6: Final answer
    x = 664.89

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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.