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Finding the Fourth Proportional to 1,306.73, 1,959.97 and 813.23

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Solution

The fourth proportional to 1,306.73, 1,959.97 and 813.23 is: 1,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.73 : 1,959.97 = 813.23 : x
  2. Step 2: Convert to fraction form
    1,306.73/1,959.97 = 813.23/x
  3. Step 3: Cross multiply
    1,306.73x = 1,959.97 × 813.23
  4. Step 4: Simplify right side
    1,306.73x = 1,593,906.40
  5. Step 5: Solve for x
    x = 1,593,906.40/1,306.73
  6. Step 6: Final answer
    x = 1,219.77

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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.