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Finding the Fourth Proportional to 826.06, 1,238.37 and 414.62

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Solution

The fourth proportional to 826.06, 1,238.37 and 414.62 is: 621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,238.37 = 414.62 : x
  2. Step 2: Convert to fraction form
    826.06/1,238.37 = 414.62/x
  3. Step 3: Cross multiply
    826.06x = 1,238.37 × 414.62
  4. Step 4: Simplify right side
    826.06x = 513,452.97
  5. Step 5: Solve for x
    x = 513,452.97/826.06
  6. Step 6: Final answer
    x = 621.57

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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.