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Finding the Fourth Proportional to 986.38, 1,476.46 and 676.42

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Solution

The fourth proportional to 986.38, 1,476.46 and 676.42 is: 1,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.38 : 1,476.46 = 676.42 : x
  2. Step 2: Convert to fraction form
    986.38/1,476.46 = 676.42/x
  3. Step 3: Cross multiply
    986.38x = 1,476.46 × 676.42
  4. Step 4: Simplify right side
    986.38x = 998,704.23
  5. Step 5: Solve for x
    x = 998,704.23/986.38
  6. Step 6: Final answer
    x = 1,012.50

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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.