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Finding the Fourth Proportional to 989.09, 1,480.41 and 728.99

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Solution

The fourth proportional to 989.09, 1,480.41 and 728.99 is: 1,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.09 : 1,480.41 = 728.99 : x
  2. Step 2: Convert to fraction form
    989.09/1,480.41 = 728.99/x
  3. Step 3: Cross multiply
    989.09x = 1,480.41 × 728.99
  4. Step 4: Simplify right side
    989.09x = 1,079,204.09
  5. Step 5: Solve for x
    x = 1,079,204.09/989.09
  6. Step 6: Final answer
    x = 1,091.11

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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.