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Finding the Fourth Proportional to 676.76, 1,013.78 and 311.04

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Solution

The fourth proportional to 676.76, 1,013.78 and 311.04 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 1,013.78 = 311.04 : x
  2. Step 2: Convert to fraction form
    676.76/1,013.78 = 311.04/x
  3. Step 3: Cross multiply
    676.76x = 1,013.78 × 311.04
  4. Step 4: Simplify right side
    676.76x = 315,326.13
  5. Step 5: Solve for x
    x = 315,326.13/676.76
  6. Step 6: Final answer
    x = 465.93

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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.