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Finding the Fourth Proportional to 826.91, 1,240.25 and 210.56

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Solution

The fourth proportional to 826.91, 1,240.25 and 210.56 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.91 : 1,240.25 = 210.56 : x
  2. Step 2: Convert to fraction form
    826.91/1,240.25 = 210.56/x
  3. Step 3: Cross multiply
    826.91x = 1,240.25 × 210.56
  4. Step 4: Simplify right side
    826.91x = 261,150.67
  5. Step 5: Solve for x
    x = 261,150.67/826.91
  6. Step 6: Final answer
    x = 315.81

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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.