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Finding the Fourth Proportional to 1,351.38, 1,864.97 and 827.44

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Solution

The fourth proportional to 1,351.38, 1,864.97 and 827.44 is: 1,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.38 : 1,864.97 = 827.44 : x
  2. Step 2: Convert to fraction form
    1,351.38/1,864.97 = 827.44/x
  3. Step 3: Cross multiply
    1,351.38x = 1,864.97 × 827.44
  4. Step 4: Simplify right side
    1,351.38x = 1,543,150.78
  5. Step 5: Solve for x
    x = 1,543,150.78/1,351.38
  6. Step 6: Final answer
    x = 1,141.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.