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Finding the Fourth Proportional to 725.73, 1,001.49 and 415.23

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Solution

The fourth proportional to 725.73, 1,001.49 and 415.23 is: 573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.73 : 1,001.49 = 415.23 : x
  2. Step 2: Convert to fraction form
    725.73/1,001.49 = 415.23/x
  3. Step 3: Cross multiply
    725.73x = 1,001.49 × 415.23
  4. Step 4: Simplify right side
    725.73x = 415,848.69
  5. Step 5: Solve for x
    x = 415,848.69/725.73
  6. Step 6: Final answer
    x = 573.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.