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Finding the Fourth Proportional to 1,378.49, 2,067.73 and 352.49

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Solution

The fourth proportional to 1,378.49, 2,067.73 and 352.49 is: 528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.49 : 2,067.73 = 352.49 : x
  2. Step 2: Convert to fraction form
    1,378.49/2,067.73 = 352.49/x
  3. Step 3: Cross multiply
    1,378.49x = 2,067.73 × 352.49
  4. Step 4: Simplify right side
    1,378.49x = 728,854.15
  5. Step 5: Solve for x
    x = 728,854.15/1,378.49
  6. Step 6: Final answer
    x = 528.73

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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.