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Finding the Fourth Proportional to 679.05, 1,018.54 and 216.85

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Solution

The fourth proportional to 679.05, 1,018.54 and 216.85 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.05 : 1,018.54 = 216.85 : x
  2. Step 2: Convert to fraction form
    679.05/1,018.54 = 216.85/x
  3. Step 3: Cross multiply
    679.05x = 1,018.54 × 216.85
  4. Step 4: Simplify right side
    679.05x = 220,870.40
  5. Step 5: Solve for x
    x = 220,870.40/679.05
  6. Step 6: Final answer
    x = 325.26

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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.