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Finding the Fourth Proportional to 1,414.67, 1,952.48 and 855.17

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Solution

The fourth proportional to 1,414.67, 1,952.48 and 855.17 is: 1,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.67 : 1,952.48 = 855.17 : x
  2. Step 2: Convert to fraction form
    1,414.67/1,952.48 = 855.17/x
  3. Step 3: Cross multiply
    1,414.67x = 1,952.48 × 855.17
  4. Step 4: Simplify right side
    1,414.67x = 1,669,698.05
  5. Step 5: Solve for x
    x = 1,669,698.05/1,414.67
  6. Step 6: Final answer
    x = 1,180.27

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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.