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Finding the Fourth Proportional to 676.15, 1,013.94 and 286.33

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Solution

The fourth proportional to 676.15, 1,013.94 and 286.33 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.15 : 1,013.94 = 286.33 : x
  2. Step 2: Convert to fraction form
    676.15/1,013.94 = 286.33/x
  3. Step 3: Cross multiply
    676.15x = 1,013.94 × 286.33
  4. Step 4: Simplify right side
    676.15x = 290,321.44
  5. Step 5: Solve for x
    x = 290,321.44/676.15
  6. Step 6: Final answer
    x = 429.37

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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.