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Finding the Fourth Proportional to 727.87, 1,004.44 and 396.29

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Solution

The fourth proportional to 727.87, 1,004.44 and 396.29 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.87 : 1,004.44 = 396.29 : x
  2. Step 2: Convert to fraction form
    727.87/1,004.44 = 396.29/x
  3. Step 3: Cross multiply
    727.87x = 1,004.44 × 396.29
  4. Step 4: Simplify right side
    727.87x = 398,049.53
  5. Step 5: Solve for x
    x = 398,049.53/727.87
  6. Step 6: Final answer
    x = 546.87

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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.