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Finding the Fourth Proportional to 719.09, 1,078.49 and 198.97

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Solution

The fourth proportional to 719.09, 1,078.49 and 198.97 is: 298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.09 : 1,078.49 = 198.97 : x
  2. Step 2: Convert to fraction form
    719.09/1,078.49 = 198.97/x
  3. Step 3: Cross multiply
    719.09x = 1,078.49 × 198.97
  4. Step 4: Simplify right side
    719.09x = 214,581.76
  5. Step 5: Solve for x
    x = 214,581.76/719.09
  6. Step 6: Final answer
    x = 298.41

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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.