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Finding the Fourth Proportional to 727.29, 1,003.63 and 395.71

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Solution

The fourth proportional to 727.29, 1,003.63 and 395.71 is: 546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.29 : 1,003.63 = 395.71 : x
  2. Step 2: Convert to fraction form
    727.29/1,003.63 = 395.71/x
  3. Step 3: Cross multiply
    727.29x = 1,003.63 × 395.71
  4. Step 4: Simplify right side
    727.29x = 397,146.43
  5. Step 5: Solve for x
    x = 397,146.43/727.29
  6. Step 6: Final answer
    x = 546.06

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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.