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Finding the Fourth Proportional to 1,086.80, 1,626.56 and 904.56

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Solution

The fourth proportional to 1,086.80, 1,626.56 and 904.56 is: 1,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.80 : 1,626.56 = 904.56 : x
  2. Step 2: Convert to fraction form
    1,086.80/1,626.56 = 904.56/x
  3. Step 3: Cross multiply
    1,086.80x = 1,626.56 × 904.56
  4. Step 4: Simplify right side
    1,086.80x = 1,471,321.11
  5. Step 5: Solve for x
    x = 1,471,321.11/1,086.80
  6. Step 6: Final answer
    x = 1,353.81

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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.