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Finding the Fourth Proportional to 1,414.90, 1,951.76 and 995.08

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Solution

The fourth proportional to 1,414.90, 1,951.76 and 995.08 is: 1,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.90 : 1,951.76 = 995.08 : x
  2. Step 2: Convert to fraction form
    1,414.90/1,951.76 = 995.08/x
  3. Step 3: Cross multiply
    1,414.90x = 1,951.76 × 995.08
  4. Step 4: Simplify right side
    1,414.90x = 1,942,157.34
  5. Step 5: Solve for x
    x = 1,942,157.34/1,414.90
  6. Step 6: Final answer
    x = 1,372.65

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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.