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Finding the Fourth Proportional to 827.28, 1,240.20 and 340.56

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Solution

The fourth proportional to 827.28, 1,240.20 and 340.56 is: 510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.28 : 1,240.20 = 340.56 : x
  2. Step 2: Convert to fraction form
    827.28/1,240.20 = 340.56/x
  3. Step 3: Cross multiply
    827.28x = 1,240.20 × 340.56
  4. Step 4: Simplify right side
    827.28x = 422,362.51
  5. Step 5: Solve for x
    x = 422,362.51/827.28
  6. Step 6: Final answer
    x = 510.54

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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.