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Finding the Fourth Proportional to 1,539.11, 2,308.59 and 443.43

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Solution

The fourth proportional to 1,539.11, 2,308.59 and 443.43 is: 665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.11 : 2,308.59 = 443.43 : x
  2. Step 2: Convert to fraction form
    1,539.11/2,308.59 = 443.43/x
  3. Step 3: Cross multiply
    1,539.11x = 2,308.59 × 443.43
  4. Step 4: Simplify right side
    1,539.11x = 1,023,698.06
  5. Step 5: Solve for x
    x = 1,023,698.06/1,539.11
  6. Step 6: Final answer
    x = 665.12

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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.