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Finding the Fourth Proportional to 857.82, 1,286.82 and 280.70

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Solution

The fourth proportional to 857.82, 1,286.82 and 280.70 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.82 : 1,286.82 = 280.70 : x
  2. Step 2: Convert to fraction form
    857.82/1,286.82 = 280.70/x
  3. Step 3: Cross multiply
    857.82x = 1,286.82 × 280.70
  4. Step 4: Simplify right side
    857.82x = 361,203.94
  5. Step 5: Solve for x
    x = 361,203.94/857.82
  6. Step 6: Final answer
    x = 421.07

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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.