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Finding the Fourth Proportional to 1,539.70, 2,309.23 and 443.82

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Solution

The fourth proportional to 1,539.70, 2,309.23 and 443.82 is: 665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.70 : 2,309.23 = 443.82 : x
  2. Step 2: Convert to fraction form
    1,539.70/2,309.23 = 443.82/x
  3. Step 3: Cross multiply
    1,539.70x = 2,309.23 × 443.82
  4. Step 4: Simplify right side
    1,539.70x = 1,024,882.46
  5. Step 5: Solve for x
    x = 1,024,882.46/1,539.70
  6. Step 6: Final answer
    x = 665.64

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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.