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Finding the Fourth Proportional to 1,350.27, 1,863.20 and 852.73

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Solution

The fourth proportional to 1,350.27, 1,863.20 and 852.73 is: 1,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.27 : 1,863.20 = 852.73 : x
  2. Step 2: Convert to fraction form
    1,350.27/1,863.20 = 852.73/x
  3. Step 3: Cross multiply
    1,350.27x = 1,863.20 × 852.73
  4. Step 4: Simplify right side
    1,350.27x = 1,588,804.01
  5. Step 5: Solve for x
    x = 1,588,804.01/1,350.27
  6. Step 6: Final answer
    x = 1,176.66

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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.