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Finding the Fourth Proportional to 1,493.97, 2,241.31 and 506.74

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Solution

The fourth proportional to 1,493.97, 2,241.31 and 506.74 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.97 : 2,241.31 = 506.74 : x
  2. Step 2: Convert to fraction form
    1,493.97/2,241.31 = 506.74/x
  3. Step 3: Cross multiply
    1,493.97x = 2,241.31 × 506.74
  4. Step 4: Simplify right side
    1,493.97x = 1,135,749.88
  5. Step 5: Solve for x
    x = 1,135,749.88/1,493.97
  6. Step 6: Final answer
    x = 760.22

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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.