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Finding the Fourth Proportional to 719.34, 1,078.87 and 199.21

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Solution

The fourth proportional to 719.34, 1,078.87 and 199.21 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 1,078.87 = 199.21 : x
  2. Step 2: Convert to fraction form
    719.34/1,078.87 = 199.21/x
  3. Step 3: Cross multiply
    719.34x = 1,078.87 × 199.21
  4. Step 4: Simplify right side
    719.34x = 214,921.69
  5. Step 5: Solve for x
    x = 214,921.69/719.34
  6. Step 6: Final answer
    x = 298.78

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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.