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Finding the Fourth Proportional to 1,488.28, 2,232.37 and 563.56

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Solution

The fourth proportional to 1,488.28, 2,232.37 and 563.56 is: 845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.28 : 2,232.37 = 563.56 : x
  2. Step 2: Convert to fraction form
    1,488.28/2,232.37 = 563.56/x
  3. Step 3: Cross multiply
    1,488.28x = 2,232.37 × 563.56
  4. Step 4: Simplify right side
    1,488.28x = 1,258,074.44
  5. Step 5: Solve for x
    x = 1,258,074.44/1,488.28
  6. Step 6: Final answer
    x = 845.32

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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.