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Finding the Fourth Proportional to 728.87, 1,005.80 and 397.27

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Solution

The fourth proportional to 728.87, 1,005.80 and 397.27 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.87 : 1,005.80 = 397.27 : x
  2. Step 2: Convert to fraction form
    728.87/1,005.80 = 397.27/x
  3. Step 3: Cross multiply
    728.87x = 1,005.80 × 397.27
  4. Step 4: Simplify right side
    728.87x = 399,573.44
  5. Step 5: Solve for x
    x = 399,573.44/728.87
  6. Step 6: Final answer
    x = 548.21

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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.