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Finding the Fourth Proportional to 825.73, 1,239.11 and 338.79

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Solution

The fourth proportional to 825.73, 1,239.11 and 338.79 is: 508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.73 : 1,239.11 = 338.79 : x
  2. Step 2: Convert to fraction form
    825.73/1,239.11 = 338.79/x
  3. Step 3: Cross multiply
    825.73x = 1,239.11 × 338.79
  4. Step 4: Simplify right side
    825.73x = 419,798.08
  5. Step 5: Solve for x
    x = 419,798.08/825.73
  6. Step 6: Final answer
    x = 508.40

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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.