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Finding the Fourth Proportional to 728.73, 1,005.56 and 414.03

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Solution

The fourth proportional to 728.73, 1,005.56 and 414.03 is: 571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,005.56 = 414.03 : x
  2. Step 2: Convert to fraction form
    728.73/1,005.56 = 414.03/x
  3. Step 3: Cross multiply
    728.73x = 1,005.56 × 414.03
  4. Step 4: Simplify right side
    728.73x = 416,331.93
  5. Step 5: Solve for x
    x = 416,331.93/728.73
  6. Step 6: Final answer
    x = 571.31

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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.