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Finding the Fourth Proportional to 727.87, 1,004.46 and 396.30

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Solution

The fourth proportional to 727.87, 1,004.46 and 396.30 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.87 : 1,004.46 = 396.30 : x
  2. Step 2: Convert to fraction form
    727.87/1,004.46 = 396.30/x
  3. Step 3: Cross multiply
    727.87x = 1,004.46 × 396.30
  4. Step 4: Simplify right side
    727.87x = 398,067.50
  5. Step 5: Solve for x
    x = 398,067.50/727.87
  6. Step 6: Final answer
    x = 546.89

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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.