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Finding the Fourth Proportional to 1,414.41, 1,952.29 and 854.79

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Solution

The fourth proportional to 1,414.41, 1,952.29 and 854.79 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.41 : 1,952.29 = 854.79 : x
  2. Step 2: Convert to fraction form
    1,414.41/1,952.29 = 854.79/x
  3. Step 3: Cross multiply
    1,414.41x = 1,952.29 × 854.79
  4. Step 4: Simplify right side
    1,414.41x = 1,668,797.97
  5. Step 5: Solve for x
    x = 1,668,797.97/1,414.41
  6. Step 6: Final answer
    x = 1,179.85

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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.