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Finding the Fourth Proportional to 1,467.12, 2,201.01 and 493.23

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Solution

The fourth proportional to 1,467.12, 2,201.01 and 493.23 is: 739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.12 : 2,201.01 = 493.23 : x
  2. Step 2: Convert to fraction form
    1,467.12/2,201.01 = 493.23/x
  3. Step 3: Cross multiply
    1,467.12x = 2,201.01 × 493.23
  4. Step 4: Simplify right side
    1,467.12x = 1,085,604.16
  5. Step 5: Solve for x
    x = 1,085,604.16/1,467.12
  6. Step 6: Final answer
    x = 739.96

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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.