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Finding the Fourth Proportional to 1,353.73, 1,868.27 and 822.49

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Solution

The fourth proportional to 1,353.73, 1,868.27 and 822.49 is: 1,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.73 : 1,868.27 = 822.49 : x
  2. Step 2: Convert to fraction form
    1,353.73/1,868.27 = 822.49/x
  3. Step 3: Cross multiply
    1,353.73x = 1,868.27 × 822.49
  4. Step 4: Simplify right side
    1,353.73x = 1,536,633.39
  5. Step 5: Solve for x
    x = 1,536,633.39/1,353.73
  6. Step 6: Final answer
    x = 1,135.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.