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Finding the Fourth Proportional to 857.83, 1,286.74 and 371.22

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Solution

The fourth proportional to 857.83, 1,286.74 and 371.22 is: 556.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.83 : 1,286.74 = 371.22 : x
  2. Step 2: Convert to fraction form
    857.83/1,286.74 = 371.22/x
  3. Step 3: Cross multiply
    857.83x = 1,286.74 × 371.22
  4. Step 4: Simplify right side
    857.83x = 477,663.62
  5. Step 5: Solve for x
    x = 477,663.62/857.83
  6. Step 6: Final answer
    x = 556.83

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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.