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Finding the Fourth Proportional to 986.03, 1,478.27 and 676.97

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Solution

The fourth proportional to 986.03, 1,478.27 and 676.97 is: 1,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.03 : 1,478.27 = 676.97 : x
  2. Step 2: Convert to fraction form
    986.03/1,478.27 = 676.97/x
  3. Step 3: Cross multiply
    986.03x = 1,478.27 × 676.97
  4. Step 4: Simplify right side
    986.03x = 1,000,733.67
  5. Step 5: Solve for x
    x = 1,000,733.67/986.03
  6. Step 6: Final answer
    x = 1,014.91

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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.