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Finding the Fourth Proportional to 1,309.06, 1,963.86 and 443.26

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Solution

The fourth proportional to 1,309.06, 1,963.86 and 443.26 is: 664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.06 : 1,963.86 = 443.26 : x
  2. Step 2: Convert to fraction form
    1,309.06/1,963.86 = 443.26/x
  3. Step 3: Cross multiply
    1,309.06x = 1,963.86 × 443.26
  4. Step 4: Simplify right side
    1,309.06x = 870,500.58
  5. Step 5: Solve for x
    x = 870,500.58/1,309.06
  6. Step 6: Final answer
    x = 664.98

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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.