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Finding the Fourth Proportional to 679.25, 1,019.08 and 217.10

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Solution

The fourth proportional to 679.25, 1,019.08 and 217.10 is: 325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.25 : 1,019.08 = 217.10 : x
  2. Step 2: Convert to fraction form
    679.25/1,019.08 = 217.10/x
  3. Step 3: Cross multiply
    679.25x = 1,019.08 × 217.10
  4. Step 4: Simplify right side
    679.25x = 221,239.35
  5. Step 5: Solve for x
    x = 221,239.35/679.25
  6. Step 6: Final answer
    x = 325.71

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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.