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Finding the Fourth Proportional to 727.04, 1,003.30 and 395.46

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Solution

The fourth proportional to 727.04, 1,003.30 and 395.46 is: 545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.04 : 1,003.30 = 395.46 : x
  2. Step 2: Convert to fraction form
    727.04/1,003.30 = 395.46/x
  3. Step 3: Cross multiply
    727.04x = 1,003.30 × 395.46
  4. Step 4: Simplify right side
    727.04x = 396,764.03
  5. Step 5: Solve for x
    x = 396,764.03/727.04
  6. Step 6: Final answer
    x = 545.72

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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.