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Finding the Fourth Proportional to 685.21, 1,028.22 and 252.67

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Solution

The fourth proportional to 685.21, 1,028.22 and 252.67 is: 379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.21 : 1,028.22 = 252.67 : x
  2. Step 2: Convert to fraction form
    685.21/1,028.22 = 252.67/x
  3. Step 3: Cross multiply
    685.21x = 1,028.22 × 252.67
  4. Step 4: Simplify right side
    685.21x = 259,802.11
  5. Step 5: Solve for x
    x = 259,802.11/685.21
  6. Step 6: Final answer
    x = 379.16

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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.