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Finding the Fourth Proportional to 676.98, 1,015.56 and 311.86

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Solution

The fourth proportional to 676.98, 1,015.56 and 311.86 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.98 : 1,015.56 = 311.86 : x
  2. Step 2: Convert to fraction form
    676.98/1,015.56 = 311.86/x
  3. Step 3: Cross multiply
    676.98x = 1,015.56 × 311.86
  4. Step 4: Simplify right side
    676.98x = 316,712.54
  5. Step 5: Solve for x
    x = 316,712.54/676.98
  6. Step 6: Final answer
    x = 467.83

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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.