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Finding the Fourth Proportional to 1,232.28, 1,847.61 and 655.56

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Solution

The fourth proportional to 1,232.28, 1,847.61 and 655.56 is: 982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.28 : 1,847.61 = 655.56 : x
  2. Step 2: Convert to fraction form
    1,232.28/1,847.61 = 655.56/x
  3. Step 3: Cross multiply
    1,232.28x = 1,847.61 × 655.56
  4. Step 4: Simplify right side
    1,232.28x = 1,211,219.21
  5. Step 5: Solve for x
    x = 1,211,219.21/1,232.28
  6. Step 6: Final answer
    x = 982.91

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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.