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Finding the Fourth Proportional to 676.13, 1,013.97 and 310.72

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Solution

The fourth proportional to 676.13, 1,013.97 and 310.72 is: 465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 1,013.97 = 310.72 : x
  2. Step 2: Convert to fraction form
    676.13/1,013.97 = 310.72/x
  3. Step 3: Cross multiply
    676.13x = 1,013.97 × 310.72
  4. Step 4: Simplify right side
    676.13x = 315,059.54
  5. Step 5: Solve for x
    x = 315,059.54/676.13
  6. Step 6: Final answer
    x = 465.97

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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.