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Finding the Fourth Proportional to 826.14, 1,241.33 and 622.63

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Solution

The fourth proportional to 826.14, 1,241.33 and 622.63 is: 935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,241.33 = 622.63 : x
  2. Step 2: Convert to fraction form
    826.14/1,241.33 = 622.63/x
  3. Step 3: Cross multiply
    826.14x = 1,241.33 × 622.63
  4. Step 4: Simplify right side
    826.14x = 772,884.65
  5. Step 5: Solve for x
    x = 772,884.65/826.14
  6. Step 6: Final answer
    x = 935.54

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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.