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Finding the Fourth Proportional to 986.73, 1,360.76 and 720.75

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Solution

The fourth proportional to 986.73, 1,360.76 and 720.75 is: 993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.73 : 1,360.76 = 720.75 : x
  2. Step 2: Convert to fraction form
    986.73/1,360.76 = 720.75/x
  3. Step 3: Cross multiply
    986.73x = 1,360.76 × 720.75
  4. Step 4: Simplify right side
    986.73x = 980,767.77
  5. Step 5: Solve for x
    x = 980,767.77/986.73
  6. Step 6: Final answer
    x = 993.96

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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.