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Finding the Fourth Proportional to 883.85, 1,324.56 and 857.57

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Solution

The fourth proportional to 883.85, 1,324.56 and 857.57 is: 1,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.85 : 1,324.56 = 857.57 : x
  2. Step 2: Convert to fraction form
    883.85/1,324.56 = 857.57/x
  3. Step 3: Cross multiply
    883.85x = 1,324.56 × 857.57
  4. Step 4: Simplify right side
    883.85x = 1,135,902.92
  5. Step 5: Solve for x
    x = 1,135,902.92/883.85
  6. Step 6: Final answer
    x = 1,285.18

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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.