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Finding the Fourth Proportional to 855.82, 1,282.20 and 566.56

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Solution

The fourth proportional to 855.82, 1,282.20 and 566.56 is: 848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.82 : 1,282.20 = 566.56 : x
  2. Step 2: Convert to fraction form
    855.82/1,282.20 = 566.56/x
  3. Step 3: Cross multiply
    855.82x = 1,282.20 × 566.56
  4. Step 4: Simplify right side
    855.82x = 726,443.23
  5. Step 5: Solve for x
    x = 726,443.23/855.82
  6. Step 6: Final answer
    x = 848.83

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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.