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Finding the Fourth Proportional to 719.38, 1,078.62 and 286.03

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Solution

The fourth proportional to 719.38, 1,078.62 and 286.03 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.38 : 1,078.62 = 286.03 : x
  2. Step 2: Convert to fraction form
    719.38/1,078.62 = 286.03/x
  3. Step 3: Cross multiply
    719.38x = 1,078.62 × 286.03
  4. Step 4: Simplify right side
    719.38x = 308,517.68
  5. Step 5: Solve for x
    x = 308,517.68/719.38
  6. Step 6: Final answer
    x = 428.87

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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.