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Finding the Fourth Proportional to 727.31, 1,003.69 and 395.74

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Solution

The fourth proportional to 727.31, 1,003.69 and 395.74 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.31 : 1,003.69 = 395.74 : x
  2. Step 2: Convert to fraction form
    727.31/1,003.69 = 395.74/x
  3. Step 3: Cross multiply
    727.31x = 1,003.69 × 395.74
  4. Step 4: Simplify right side
    727.31x = 397,202.03
  5. Step 5: Solve for x
    x = 397,202.03/727.31
  6. Step 6: Final answer
    x = 546.13

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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.