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Finding the Fourth Proportional to 857.84, 1,286.73 and 280.71

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Solution

The fourth proportional to 857.84, 1,286.73 and 280.71 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,286.73 = 280.71 : x
  2. Step 2: Convert to fraction form
    857.84/1,286.73 = 280.71/x
  3. Step 3: Cross multiply
    857.84x = 1,286.73 × 280.71
  4. Step 4: Simplify right side
    857.84x = 361,197.98
  5. Step 5: Solve for x
    x = 361,197.98/857.84
  6. Step 6: Final answer
    x = 421.06

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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.