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Finding the Fourth Proportional to 825.85, 1,238.73 and 277.98

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Solution

The fourth proportional to 825.85, 1,238.73 and 277.98 is: 416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.85 : 1,238.73 = 277.98 : x
  2. Step 2: Convert to fraction form
    825.85/1,238.73 = 277.98/x
  3. Step 3: Cross multiply
    825.85x = 1,238.73 × 277.98
  4. Step 4: Simplify right side
    825.85x = 344,335.97
  5. Step 5: Solve for x
    x = 344,335.97/825.85
  6. Step 6: Final answer
    x = 416.95

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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.