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Finding the Fourth Proportional to 1,539.14, 2,308.22 and 443.21

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Solution

The fourth proportional to 1,539.14, 2,308.22 and 443.21 is: 664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.14 : 2,308.22 = 443.21 : x
  2. Step 2: Convert to fraction form
    1,539.14/2,308.22 = 443.21/x
  3. Step 3: Cross multiply
    1,539.14x = 2,308.22 × 443.21
  4. Step 4: Simplify right side
    1,539.14x = 1,023,012.43
  5. Step 5: Solve for x
    x = 1,023,012.43/1,539.14
  6. Step 6: Final answer
    x = 664.67

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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.