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Finding the Fourth Proportional to 1,481.75, 2,221.87 and 494.22

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Solution

The fourth proportional to 1,481.75, 2,221.87 and 494.22 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.75 : 2,221.87 = 494.22 : x
  2. Step 2: Convert to fraction form
    1,481.75/2,221.87 = 494.22/x
  3. Step 3: Cross multiply
    1,481.75x = 2,221.87 × 494.22
  4. Step 4: Simplify right side
    1,481.75x = 1,098,089.51
  5. Step 5: Solve for x
    x = 1,098,089.51/1,481.75
  6. Step 6: Final answer
    x = 741.08

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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.