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Finding the Fourth Proportional to 1,409.23, 1,944.60 and 819.79

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Solution

The fourth proportional to 1,409.23, 1,944.60 and 819.79 is: 1,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.23 : 1,944.60 = 819.79 : x
  2. Step 2: Convert to fraction form
    1,409.23/1,944.60 = 819.79/x
  3. Step 3: Cross multiply
    1,409.23x = 1,944.60 × 819.79
  4. Step 4: Simplify right side
    1,409.23x = 1,594,163.63
  5. Step 5: Solve for x
    x = 1,594,163.63/1,409.23
  6. Step 6: Final answer
    x = 1,131.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.