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Finding the Fourth Proportional to 676.96, 1,014.83 and 311.45

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Solution

The fourth proportional to 676.96, 1,014.83 and 311.45 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 1,014.83 = 311.45 : x
  2. Step 2: Convert to fraction form
    676.96/1,014.83 = 311.45/x
  3. Step 3: Cross multiply
    676.96x = 1,014.83 × 311.45
  4. Step 4: Simplify right side
    676.96x = 316,063.34
  5. Step 5: Solve for x
    x = 316,063.34/676.96
  6. Step 6: Final answer
    x = 466.89

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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.