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Finding the Fourth Proportional to 679.87, 1,019.28 and 289.54

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Solution

The fourth proportional to 679.87, 1,019.28 and 289.54 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.87 : 1,019.28 = 289.54 : x
  2. Step 2: Convert to fraction form
    679.87/1,019.28 = 289.54/x
  3. Step 3: Cross multiply
    679.87x = 1,019.28 × 289.54
  4. Step 4: Simplify right side
    679.87x = 295,122.33
  5. Step 5: Solve for x
    x = 295,122.33/679.87
  6. Step 6: Final answer
    x = 434.09

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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.