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Finding the Fourth Proportional to 679.44, 1,019.20 and 354.40

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Solution

The fourth proportional to 679.44, 1,019.20 and 354.40 is: 531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.44 : 1,019.20 = 354.40 : x
  2. Step 2: Convert to fraction form
    679.44/1,019.20 = 354.40/x
  3. Step 3: Cross multiply
    679.44x = 1,019.20 × 354.40
  4. Step 4: Simplify right side
    679.44x = 361,204.48
  5. Step 5: Solve for x
    x = 361,204.48/679.44
  6. Step 6: Final answer
    x = 531.62

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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.