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Finding the Fourth Proportional to 728.82, 1,005.77 and 397.25

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Solution

The fourth proportional to 728.82, 1,005.77 and 397.25 is: 548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.82 : 1,005.77 = 397.25 : x
  2. Step 2: Convert to fraction form
    728.82/1,005.77 = 397.25/x
  3. Step 3: Cross multiply
    728.82x = 1,005.77 × 397.25
  4. Step 4: Simplify right side
    728.82x = 399,535.12
  5. Step 5: Solve for x
    x = 399,535.12/728.82
  6. Step 6: Final answer
    x = 548.20

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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.