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Finding the Fourth Proportional to 1,539.02, 2,308.73 and 443.41

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Solution

The fourth proportional to 1,539.02, 2,308.73 and 443.41 is: 665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.02 : 2,308.73 = 443.41 : x
  2. Step 2: Convert to fraction form
    1,539.02/2,308.73 = 443.41/x
  3. Step 3: Cross multiply
    1,539.02x = 2,308.73 × 443.41
  4. Step 4: Simplify right side
    1,539.02x = 1,023,713.97
  5. Step 5: Solve for x
    x = 1,023,713.97/1,539.02
  6. Step 6: Final answer
    x = 665.17

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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.