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Finding the Fourth Proportional to 1,481.12, 2,221.90 and 506.98

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Solution

The fourth proportional to 1,481.12, 2,221.90 and 506.98 is: 760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.12 : 2,221.90 = 506.98 : x
  2. Step 2: Convert to fraction form
    1,481.12/2,221.90 = 506.98/x
  3. Step 3: Cross multiply
    1,481.12x = 2,221.90 × 506.98
  4. Step 4: Simplify right side
    1,481.12x = 1,126,458.86
  5. Step 5: Solve for x
    x = 1,126,458.86/1,481.12
  6. Step 6: Final answer
    x = 760.55

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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.