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Finding the Fourth Proportional to 863.73, 1,185.03 and 822.42

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Solution

The fourth proportional to 863.73, 1,185.03 and 822.42 is: 1,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,185.03 = 822.42 : x
  2. Step 2: Convert to fraction form
    863.73/1,185.03 = 822.42/x
  3. Step 3: Cross multiply
    863.73x = 1,185.03 × 822.42
  4. Step 4: Simplify right side
    863.73x = 974,592.37
  5. Step 5: Solve for x
    x = 974,592.37/863.73
  6. Step 6: Final answer
    x = 1,128.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.