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Finding the Fourth Proportional to 826.33, 1,238.73 and 415.11

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Solution

The fourth proportional to 826.33, 1,238.73 and 415.11 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.33 : 1,238.73 = 415.11 : x
  2. Step 2: Convert to fraction form
    826.33/1,238.73 = 415.11/x
  3. Step 3: Cross multiply
    826.33x = 1,238.73 × 415.11
  4. Step 4: Simplify right side
    826.33x = 514,209.21
  5. Step 5: Solve for x
    x = 514,209.21/826.33
  6. Step 6: Final answer
    x = 622.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.