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Finding the Fourth Proportional to 1,467.56, 2,201.52 and 441.56

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Solution

The fourth proportional to 1,467.56, 2,201.52 and 441.56 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.56 : 2,201.52 = 441.56 : x
  2. Step 2: Convert to fraction form
    1,467.56/2,201.52 = 441.56/x
  3. Step 3: Cross multiply
    1,467.56x = 2,201.52 × 441.56
  4. Step 4: Simplify right side
    1,467.56x = 972,110.33
  5. Step 5: Solve for x
    x = 972,110.33/1,467.56
  6. Step 6: Final answer
    x = 662.40

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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.