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Finding the Fourth Proportional to 1,539.53, 2,309.33 and 443.96

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Solution

The fourth proportional to 1,539.53, 2,309.33 and 443.96 is: 665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.53 : 2,309.33 = 443.96 : x
  2. Step 2: Convert to fraction form
    1,539.53/2,309.33 = 443.96/x
  3. Step 3: Cross multiply
    1,539.53x = 2,309.33 × 443.96
  4. Step 4: Simplify right side
    1,539.53x = 1,025,239.71
  5. Step 5: Solve for x
    x = 1,025,239.71/1,539.53
  6. Step 6: Final answer
    x = 665.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.