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Finding the Fourth Proportional to 725.84, 1,001.76 and 415.36

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Solution

The fourth proportional to 725.84, 1,001.76 and 415.36 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.84 : 1,001.76 = 415.36 : x
  2. Step 2: Convert to fraction form
    725.84/1,001.76 = 415.36/x
  3. Step 3: Cross multiply
    725.84x = 1,001.76 × 415.36
  4. Step 4: Simplify right side
    725.84x = 416,091.03
  5. Step 5: Solve for x
    x = 416,091.03/725.84
  6. Step 6: Final answer
    x = 573.25

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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.