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Finding the Fourth Proportional to 943.86, 1,414.44 and 828.03

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Solution

The fourth proportional to 943.86, 1,414.44 and 828.03 is: 1,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.86 : 1,414.44 = 828.03 : x
  2. Step 2: Convert to fraction form
    943.86/1,414.44 = 828.03/x
  3. Step 3: Cross multiply
    943.86x = 1,414.44 × 828.03
  4. Step 4: Simplify right side
    943.86x = 1,171,198.75
  5. Step 5: Solve for x
    x = 1,171,198.75/943.86
  6. Step 6: Final answer
    x = 1,240.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.