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Finding the Fourth Proportional to 1,414.25, 1,951.85 and 793.25

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Solution

The fourth proportional to 1,414.25, 1,951.85 and 793.25 is: 1,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.25 : 1,951.85 = 793.25 : x
  2. Step 2: Convert to fraction form
    1,414.25/1,951.85 = 793.25/x
  3. Step 3: Cross multiply
    1,414.25x = 1,951.85 × 793.25
  4. Step 4: Simplify right side
    1,414.25x = 1,548,301.05
  5. Step 5: Solve for x
    x = 1,548,301.05/1,414.25
  6. Step 6: Final answer
    x = 1,094.79

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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.