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Finding the Fourth Proportional to 986.83, 1,480.39 and 337.41

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Solution

The fourth proportional to 986.83, 1,480.39 and 337.41 is: 506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.83 : 1,480.39 = 337.41 : x
  2. Step 2: Convert to fraction form
    986.83/1,480.39 = 337.41/x
  3. Step 3: Cross multiply
    986.83x = 1,480.39 × 337.41
  4. Step 4: Simplify right side
    986.83x = 499,497.55
  5. Step 5: Solve for x
    x = 499,497.55/986.83
  6. Step 6: Final answer
    x = 506.17

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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.