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Finding the Fourth Proportional to 679.27, 1,018.78 and 289.20

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Solution

The fourth proportional to 679.27, 1,018.78 and 289.20 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.27 : 1,018.78 = 289.20 : x
  2. Step 2: Convert to fraction form
    679.27/1,018.78 = 289.20/x
  3. Step 3: Cross multiply
    679.27x = 1,018.78 × 289.20
  4. Step 4: Simplify right side
    679.27x = 294,631.18
  5. Step 5: Solve for x
    x = 294,631.18/679.27
  6. Step 6: Final answer
    x = 433.75

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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.