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Finding the Fourth Proportional to 676.46, 1,013.87 and 286.31

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Solution

The fourth proportional to 676.46, 1,013.87 and 286.31 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.46 : 1,013.87 = 286.31 : x
  2. Step 2: Convert to fraction form
    676.46/1,013.87 = 286.31/x
  3. Step 3: Cross multiply
    676.46x = 1,013.87 × 286.31
  4. Step 4: Simplify right side
    676.46x = 290,274.62
  5. Step 5: Solve for x
    x = 290,274.62/676.46
  6. Step 6: Final answer
    x = 429.11

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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.