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Finding the Fourth Proportional to 857.82, 1,286.73 and 208.56

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Solution

The fourth proportional to 857.82, 1,286.73 and 208.56 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.82 : 1,286.73 = 208.56 : x
  2. Step 2: Convert to fraction form
    857.82/1,286.73 = 208.56/x
  3. Step 3: Cross multiply
    857.82x = 1,286.73 × 208.56
  4. Step 4: Simplify right side
    857.82x = 268,365.23
  5. Step 5: Solve for x
    x = 268,365.23/857.82
  6. Step 6: Final answer
    x = 312.84

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