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Finding the Fourth Proportional to 1,481.16, 2,221.26 and 493.77

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Solution

The fourth proportional to 1,481.16, 2,221.26 and 493.77 is: 740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.16 : 2,221.26 = 493.77 : x
  2. Step 2: Convert to fraction form
    1,481.16/2,221.26 = 493.77/x
  3. Step 3: Cross multiply
    1,481.16x = 2,221.26 × 493.77
  4. Step 4: Simplify right side
    1,481.16x = 1,096,777.98
  5. Step 5: Solve for x
    x = 1,096,777.98/1,481.16
  6. Step 6: Final answer
    x = 740.49

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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.