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Finding the Fourth Proportional to 826.93, 1,240.32 and 210.61

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Solution

The fourth proportional to 826.93, 1,240.32 and 210.61 is: 315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.93 : 1,240.32 = 210.61 : x
  2. Step 2: Convert to fraction form
    826.93/1,240.32 = 210.61/x
  3. Step 3: Cross multiply
    826.93x = 1,240.32 × 210.61
  4. Step 4: Simplify right side
    826.93x = 261,217.59
  5. Step 5: Solve for x
    x = 261,217.59/826.93
  6. Step 6: Final answer
    x = 315.89

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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.