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Finding the Fourth Proportional to 728.71, 1,005.61 and 397.13

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Solution

The fourth proportional to 728.71, 1,005.61 and 397.13 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.71 : 1,005.61 = 397.13 : x
  2. Step 2: Convert to fraction form
    728.71/1,005.61 = 397.13/x
  3. Step 3: Cross multiply
    728.71x = 1,005.61 × 397.13
  4. Step 4: Simplify right side
    728.71x = 399,359.42
  5. Step 5: Solve for x
    x = 399,359.42/728.71
  6. Step 6: Final answer
    x = 548.04

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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.