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Finding the Fourth Proportional to 1,414.95, 1,952.61 and 825.97

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Solution

The fourth proportional to 1,414.95, 1,952.61 and 825.97 is: 1,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.95 : 1,952.61 = 825.97 : x
  2. Step 2: Convert to fraction form
    1,414.95/1,952.61 = 825.97/x
  3. Step 3: Cross multiply
    1,414.95x = 1,952.61 × 825.97
  4. Step 4: Simplify right side
    1,414.95x = 1,612,797.28
  5. Step 5: Solve for x
    x = 1,612,797.28/1,414.95
  6. Step 6: Final answer
    x = 1,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.