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Finding the Fourth Proportional to 826.62, 1,240.06 and 415.34

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Solution

The fourth proportional to 826.62, 1,240.06 and 415.34 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.62 : 1,240.06 = 415.34 : x
  2. Step 2: Convert to fraction form
    826.62/1,240.06 = 415.34/x
  3. Step 3: Cross multiply
    826.62x = 1,240.06 × 415.34
  4. Step 4: Simplify right side
    826.62x = 515,046.52
  5. Step 5: Solve for x
    x = 515,046.52/826.62
  6. Step 6: Final answer
    x = 623.08

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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.