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Finding the Fourth Proportional to 1,539.47, 2,309.24 and 443.95

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Solution

The fourth proportional to 1,539.47, 2,309.24 and 443.95 is: 665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.47 : 2,309.24 = 443.95 : x
  2. Step 2: Convert to fraction form
    1,539.47/2,309.24 = 443.95/x
  3. Step 3: Cross multiply
    1,539.47x = 2,309.24 × 443.95
  4. Step 4: Simplify right side
    1,539.47x = 1,025,182.43
  5. Step 5: Solve for x
    x = 1,025,182.43/1,539.47
  6. Step 6: Final answer
    x = 665.93

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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.