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Finding the Fourth Proportional to 676.11, 1,014.26 and 213.81

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Solution

The fourth proportional to 676.11, 1,014.26 and 213.81 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.11 : 1,014.26 = 213.81 : x
  2. Step 2: Convert to fraction form
    676.11/1,014.26 = 213.81/x
  3. Step 3: Cross multiply
    676.11x = 1,014.26 × 213.81
  4. Step 4: Simplify right side
    676.11x = 216,854.06
  5. Step 5: Solve for x
    x = 216,854.06/676.11
  6. Step 6: Final answer
    x = 320.74

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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.