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Finding the Fourth Proportional to 857.91, 1,286.41 and 396.04

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Solution

The fourth proportional to 857.91, 1,286.41 and 396.04 is: 593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.91 : 1,286.41 = 396.04 : x
  2. Step 2: Convert to fraction form
    857.91/1,286.41 = 396.04/x
  3. Step 3: Cross multiply
    857.91x = 1,286.41 × 396.04
  4. Step 4: Simplify right side
    857.91x = 509,469.82
  5. Step 5: Solve for x
    x = 509,469.82/857.91
  6. Step 6: Final answer
    x = 593.85

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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.