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Finding the Fourth Proportional to 1,378.53, 2,067.57 and 454.12

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Solution

The fourth proportional to 1,378.53, 2,067.57 and 454.12 is: 681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.53 : 2,067.57 = 454.12 : x
  2. Step 2: Convert to fraction form
    1,378.53/2,067.57 = 454.12/x
  3. Step 3: Cross multiply
    1,378.53x = 2,067.57 × 454.12
  4. Step 4: Simplify right side
    1,378.53x = 938,912.28
  5. Step 5: Solve for x
    x = 938,912.28/1,378.53
  6. Step 6: Final answer
    x = 681.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.