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Finding the Fourth Proportional to 1,352.27, 2,028.39 and 326.27

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Solution

The fourth proportional to 1,352.27, 2,028.39 and 326.27 is: 489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.27 : 2,028.39 = 326.27 : x
  2. Step 2: Convert to fraction form
    1,352.27/2,028.39 = 326.27/x
  3. Step 3: Cross multiply
    1,352.27x = 2,028.39 × 326.27
  4. Step 4: Simplify right side
    1,352.27x = 661,792.66
  5. Step 5: Solve for x
    x = 661,792.66/1,352.27
  6. Step 6: Final answer
    x = 489.40

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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.