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Finding the Fourth Proportional to 676.50, 1,013.94 and 286.38

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Solution

The fourth proportional to 676.50, 1,013.94 and 286.38 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.50 : 1,013.94 = 286.38 : x
  2. Step 2: Convert to fraction form
    676.50/1,013.94 = 286.38/x
  3. Step 3: Cross multiply
    676.50x = 1,013.94 × 286.38
  4. Step 4: Simplify right side
    676.50x = 290,372.14
  5. Step 5: Solve for x
    x = 290,372.14/676.50
  6. Step 6: Final answer
    x = 429.23

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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.