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Finding the Fourth Proportional to 1,414.22, 1,951.62 and 825.15

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Solution

The fourth proportional to 1,414.22, 1,951.62 and 825.15 is: 1,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.22 : 1,951.62 = 825.15 : x
  2. Step 2: Convert to fraction form
    1,414.22/1,951.62 = 825.15/x
  3. Step 3: Cross multiply
    1,414.22x = 1,951.62 × 825.15
  4. Step 4: Simplify right side
    1,414.22x = 1,610,379.24
  5. Step 5: Solve for x
    x = 1,610,379.24/1,414.22
  6. Step 6: Final answer
    x = 1,138.70

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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.