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Finding the Fourth Proportional to 1,493.75, 2,241.44 and 724.25

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Solution

The fourth proportional to 1,493.75, 2,241.44 and 724.25 is: 1,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.75 : 2,241.44 = 724.25 : x
  2. Step 2: Convert to fraction form
    1,493.75/2,241.44 = 724.25/x
  3. Step 3: Cross multiply
    1,493.75x = 2,241.44 × 724.25
  4. Step 4: Simplify right side
    1,493.75x = 1,623,359.30
  5. Step 5: Solve for x
    x = 1,623,359.30/1,493.75
  6. Step 6: Final answer
    x = 1,086.77

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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.