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Finding the Fourth Proportional to 679.59, 1,019.78 and 289.57

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Solution

The fourth proportional to 679.59, 1,019.78 and 289.57 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.59 : 1,019.78 = 289.57 : x
  2. Step 2: Convert to fraction form
    679.59/1,019.78 = 289.57/x
  3. Step 3: Cross multiply
    679.59x = 1,019.78 × 289.57
  4. Step 4: Simplify right side
    679.59x = 295,297.69
  5. Step 5: Solve for x
    x = 295,297.69/679.59
  6. Step 6: Final answer
    x = 434.52

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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.