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Finding the Fourth Proportional to 1,086.06, 1,629.09 and 316.56

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Solution

The fourth proportional to 1,086.06, 1,629.09 and 316.56 is: 474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.06 : 1,629.09 = 316.56 : x
  2. Step 2: Convert to fraction form
    1,086.06/1,629.09 = 316.56/x
  3. Step 3: Cross multiply
    1,086.06x = 1,629.09 × 316.56
  4. Step 4: Simplify right side
    1,086.06x = 515,704.73
  5. Step 5: Solve for x
    x = 515,704.73/1,086.06
  6. Step 6: Final answer
    x = 474.84

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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.