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Finding the Fourth Proportional to 1,367.97, 2,052.90 and 820.14

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Solution

The fourth proportional to 1,367.97, 2,052.90 and 820.14 is: 1,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.97 : 2,052.90 = 820.14 : x
  2. Step 2: Convert to fraction form
    1,367.97/2,052.90 = 820.14/x
  3. Step 3: Cross multiply
    1,367.97x = 2,052.90 × 820.14
  4. Step 4: Simplify right side
    1,367.97x = 1,683,665.41
  5. Step 5: Solve for x
    x = 1,683,665.41/1,367.97
  6. Step 6: Final answer
    x = 1,230.78

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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.