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Finding the Fourth Proportional to 728.82, 1,005.72 and 397.24

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Solution

The fourth proportional to 728.82, 1,005.72 and 397.24 is: 548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.82 : 1,005.72 = 397.24 : x
  2. Step 2: Convert to fraction form
    728.82/1,005.72 = 397.24/x
  3. Step 3: Cross multiply
    728.82x = 1,005.72 × 397.24
  4. Step 4: Simplify right side
    728.82x = 399,512.21
  5. Step 5: Solve for x
    x = 399,512.21/728.82
  6. Step 6: Final answer
    x = 548.16

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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.