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Finding the Fourth Proportional to 719.36, 1,078.82 and 199.23

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Solution

The fourth proportional to 719.36, 1,078.82 and 199.23 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.36 : 1,078.82 = 199.23 : x
  2. Step 2: Convert to fraction form
    719.36/1,078.82 = 199.23/x
  3. Step 3: Cross multiply
    719.36x = 1,078.82 × 199.23
  4. Step 4: Simplify right side
    719.36x = 214,932.31
  5. Step 5: Solve for x
    x = 214,932.31/719.36
  6. Step 6: Final answer
    x = 298.78

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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.