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Finding the Fourth Proportional to 1,086.56, 1,629.84 and 763.37

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Solution

The fourth proportional to 1,086.56, 1,629.84 and 763.37 is: 1,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.56 : 1,629.84 = 763.37 : x
  2. Step 2: Convert to fraction form
    1,086.56/1,629.84 = 763.37/x
  3. Step 3: Cross multiply
    1,086.56x = 1,629.84 × 763.37
  4. Step 4: Simplify right side
    1,086.56x = 1,244,171.79
  5. Step 5: Solve for x
    x = 1,244,171.79/1,086.56
  6. Step 6: Final answer
    x = 1,145.06

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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.