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Finding the Fourth Proportional to 1,467.75, 2,201.64 and 441.75

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Solution

The fourth proportional to 1,467.75, 2,201.64 and 441.75 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.75 : 2,201.64 = 441.75 : x
  2. Step 2: Convert to fraction form
    1,467.75/2,201.64 = 441.75/x
  3. Step 3: Cross multiply
    1,467.75x = 2,201.64 × 441.75
  4. Step 4: Simplify right side
    1,467.75x = 972,574.47
  5. Step 5: Solve for x
    x = 972,574.47/1,467.75
  6. Step 6: Final answer
    x = 662.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.