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Finding the Fourth Proportional to 1,086.84, 1,620.72 and 1,077.12

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Solution

The fourth proportional to 1,086.84, 1,620.72 and 1,077.12 is: 1,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.84 : 1,620.72 = 1,077.12 : x
  2. Step 2: Convert to fraction form
    1,086.84/1,620.72 = 1,077.12/x
  3. Step 3: Cross multiply
    1,086.84x = 1,620.72 × 1,077.12
  4. Step 4: Simplify right side
    1,086.84x = 1,745,709.93
  5. Step 5: Solve for x
    x = 1,745,709.93/1,086.84
  6. Step 6: Final answer
    x = 1,606.23

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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.