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Finding the Fourth Proportional to 1,539.44, 2,309.54 and 443.81

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Solution

The fourth proportional to 1,539.44, 2,309.54 and 443.81 is: 665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.44 : 2,309.54 = 443.81 : x
  2. Step 2: Convert to fraction form
    1,539.44/2,309.54 = 443.81/x
  3. Step 3: Cross multiply
    1,539.44x = 2,309.54 × 443.81
  4. Step 4: Simplify right side
    1,539.44x = 1,024,986.51
  5. Step 5: Solve for x
    x = 1,024,986.51/1,539.44
  6. Step 6: Final answer
    x = 665.82

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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.