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Finding the Fourth Proportional to 679.42, 1,019.31 and 289.44

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Solution

The fourth proportional to 679.42, 1,019.31 and 289.44 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.42 : 1,019.31 = 289.44 : x
  2. Step 2: Convert to fraction form
    679.42/1,019.31 = 289.44/x
  3. Step 3: Cross multiply
    679.42x = 1,019.31 × 289.44
  4. Step 4: Simplify right side
    679.42x = 295,029.09
  5. Step 5: Solve for x
    x = 295,029.09/679.42
  6. Step 6: Final answer
    x = 434.24

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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.