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Finding the Fourth Proportional to 855.87, 1,282.38 and 823.89

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Solution

The fourth proportional to 855.87, 1,282.38 and 823.89 is: 1,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.87 : 1,282.38 = 823.89 : x
  2. Step 2: Convert to fraction form
    855.87/1,282.38 = 823.89/x
  3. Step 3: Cross multiply
    855.87x = 1,282.38 × 823.89
  4. Step 4: Simplify right side
    855.87x = 1,056,540.06
  5. Step 5: Solve for x
    x = 1,056,540.06/855.87
  6. Step 6: Final answer
    x = 1,234.46

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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.