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Finding the Fourth Proportional to 1,467.67, 2,200.69 and 493.24

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Solution

The fourth proportional to 1,467.67, 2,200.69 and 493.24 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.67 : 2,200.69 = 493.24 : x
  2. Step 2: Convert to fraction form
    1,467.67/2,200.69 = 493.24/x
  3. Step 3: Cross multiply
    1,467.67x = 2,200.69 × 493.24
  4. Step 4: Simplify right side
    1,467.67x = 1,085,468.34
  5. Step 5: Solve for x
    x = 1,085,468.34/1,467.67
  6. Step 6: Final answer
    x = 739.59

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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.