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Finding the Fourth Proportional to 1,467.08, 2,200.26 and 645.56

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Solution

The fourth proportional to 1,467.08, 2,200.26 and 645.56 is: 968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.08 : 2,200.26 = 645.56 : x
  2. Step 2: Convert to fraction form
    1,467.08/2,200.26 = 645.56/x
  3. Step 3: Cross multiply
    1,467.08x = 2,200.26 × 645.56
  4. Step 4: Simplify right side
    1,467.08x = 1,420,399.85
  5. Step 5: Solve for x
    x = 1,420,399.85/1,467.08
  6. Step 6: Final answer
    x = 968.18

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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.