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Finding the Fourth Proportional to 1,467.56, 2,201.37 and 493.46

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Solution

The fourth proportional to 1,467.56, 2,201.37 and 493.46 is: 740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.56 : 2,201.37 = 493.46 : x
  2. Step 2: Convert to fraction form
    1,467.56/2,201.37 = 493.46/x
  3. Step 3: Cross multiply
    1,467.56x = 2,201.37 × 493.46
  4. Step 4: Simplify right side
    1,467.56x = 1,086,288.04
  5. Step 5: Solve for x
    x = 1,086,288.04/1,467.56
  6. Step 6: Final answer
    x = 740.20

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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.