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Finding the Fourth Proportional to 1,453.28, 2,180.73 and 683.78

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Solution

The fourth proportional to 1,453.28, 2,180.73 and 683.78 is: 1,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.28 : 2,180.73 = 683.78 : x
  2. Step 2: Convert to fraction form
    1,453.28/2,180.73 = 683.78/x
  3. Step 3: Cross multiply
    1,453.28x = 2,180.73 × 683.78
  4. Step 4: Simplify right side
    1,453.28x = 1,491,139.56
  5. Step 5: Solve for x
    x = 1,491,139.56/1,453.28
  6. Step 6: Final answer
    x = 1,026.05

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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.