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Finding the Fourth Proportional to 826.68, 1,238.43 and 414.81

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Solution

The fourth proportional to 826.68, 1,238.43 and 414.81 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.68 : 1,238.43 = 414.81 : x
  2. Step 2: Convert to fraction form
    826.68/1,238.43 = 414.81/x
  3. Step 3: Cross multiply
    826.68x = 1,238.43 × 414.81
  4. Step 4: Simplify right side
    826.68x = 513,713.15
  5. Step 5: Solve for x
    x = 513,713.15/826.68
  6. Step 6: Final answer
    x = 621.42

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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.