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Finding the Fourth Proportional to 986.82, 1,480.23 and 337.56

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Solution

The fourth proportional to 986.82, 1,480.23 and 337.56 is: 506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.82 : 1,480.23 = 337.56 : x
  2. Step 2: Convert to fraction form
    986.82/1,480.23 = 337.56/x
  3. Step 3: Cross multiply
    986.82x = 1,480.23 × 337.56
  4. Step 4: Simplify right side
    986.82x = 499,666.44
  5. Step 5: Solve for x
    x = 499,666.44/986.82
  6. Step 6: Final answer
    x = 506.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.