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Finding the Fourth Proportional to 1,306.41, 1,960.23 and 819.81

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Solution

The fourth proportional to 1,306.41, 1,960.23 and 819.81 is: 1,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.41 : 1,960.23 = 819.81 : x
  2. Step 2: Convert to fraction form
    1,306.41/1,960.23 = 819.81/x
  3. Step 3: Cross multiply
    1,306.41x = 1,960.23 × 819.81
  4. Step 4: Simplify right side
    1,306.41x = 1,607,016.16
  5. Step 5: Solve for x
    x = 1,607,016.16/1,306.41
  6. Step 6: Final answer
    x = 1,230.10

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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.