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Finding the Fourth Proportional to 1,082.92, 1,623.42 and 827.56

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Solution

The fourth proportional to 1,082.92, 1,623.42 and 827.56 is: 1,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.92 : 1,623.42 = 827.56 : x
  2. Step 2: Convert to fraction form
    1,082.92/1,623.42 = 827.56/x
  3. Step 3: Cross multiply
    1,082.92x = 1,623.42 × 827.56
  4. Step 4: Simplify right side
    1,082.92x = 1,343,477.46
  5. Step 5: Solve for x
    x = 1,343,477.46/1,082.92
  6. Step 6: Final answer
    x = 1,240.61

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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.