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Finding the Fourth Proportional to 1,414.45, 1,951.96 and 854.84

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Solution

The fourth proportional to 1,414.45, 1,951.96 and 854.84 is: 1,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.45 : 1,951.96 = 854.84 : x
  2. Step 2: Convert to fraction form
    1,414.45/1,951.96 = 854.84/x
  3. Step 3: Cross multiply
    1,414.45x = 1,951.96 × 854.84
  4. Step 4: Simplify right side
    1,414.45x = 1,668,613.49
  5. Step 5: Solve for x
    x = 1,668,613.49/1,414.45
  6. Step 6: Final answer
    x = 1,179.69

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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.