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Finding the Fourth Proportional to 1,305.82, 1,957.41 and 819.21

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Solution

The fourth proportional to 1,305.82, 1,957.41 and 819.21 is: 1,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.82 : 1,957.41 = 819.21 : x
  2. Step 2: Convert to fraction form
    1,305.82/1,957.41 = 819.21/x
  3. Step 3: Cross multiply
    1,305.82x = 1,957.41 × 819.21
  4. Step 4: Simplify right side
    1,305.82x = 1,603,529.85
  5. Step 5: Solve for x
    x = 1,603,529.85/1,305.82
  6. Step 6: Final answer
    x = 1,227.99

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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.