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Finding the Fourth Proportional to 1,086.96, 1,621.88 and 1,020.82

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Solution

The fourth proportional to 1,086.96, 1,621.88 and 1,020.82 is: 1,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.96 : 1,621.88 = 1,020.82 : x
  2. Step 2: Convert to fraction form
    1,086.96/1,621.88 = 1,020.82/x
  3. Step 3: Cross multiply
    1,086.96x = 1,621.88 × 1,020.82
  4. Step 4: Simplify right side
    1,086.96x = 1,655,647.54
  5. Step 5: Solve for x
    x = 1,655,647.54/1,086.96
  6. Step 6: Final answer
    x = 1,523.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.