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Finding the Fourth Proportional to 1,288.73, 1,936.17 and 827.41

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Solution

The fourth proportional to 1,288.73, 1,936.17 and 827.41 is: 1,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.73 : 1,936.17 = 827.41 : x
  2. Step 2: Convert to fraction form
    1,288.73/1,936.17 = 827.41/x
  3. Step 3: Cross multiply
    1,288.73x = 1,936.17 × 827.41
  4. Step 4: Simplify right side
    1,288.73x = 1,602,006.42
  5. Step 5: Solve for x
    x = 1,602,006.42/1,288.73
  6. Step 6: Final answer
    x = 1,243.09

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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.