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Finding the Fourth Proportional to 982.85, 1,355.15 and 720.41

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Solution

The fourth proportional to 982.85, 1,355.15 and 720.41 is: 993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.85 : 1,355.15 = 720.41 : x
  2. Step 2: Convert to fraction form
    982.85/1,355.15 = 720.41/x
  3. Step 3: Cross multiply
    982.85x = 1,355.15 × 720.41
  4. Step 4: Simplify right side
    982.85x = 976,260.01
  5. Step 5: Solve for x
    x = 976,260.01/982.85
  6. Step 6: Final answer
    x = 993.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.