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Finding the Fourth Proportional to 825.54, 1,238.47 and 277.73

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Solution

The fourth proportional to 825.54, 1,238.47 and 277.73 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.54 : 1,238.47 = 277.73 : x
  2. Step 2: Convert to fraction form
    825.54/1,238.47 = 277.73/x
  3. Step 3: Cross multiply
    825.54x = 1,238.47 × 277.73
  4. Step 4: Simplify right side
    825.54x = 343,960.27
  5. Step 5: Solve for x
    x = 343,960.27/825.54
  6. Step 6: Final answer
    x = 416.65

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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.