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Finding the Fourth Proportional to 1,067.40, 1,601.50 and 519.54

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Solution

The fourth proportional to 1,067.40, 1,601.50 and 519.54 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.40 : 1,601.50 = 519.54 : x
  2. Step 2: Convert to fraction form
    1,067.40/1,601.50 = 519.54/x
  3. Step 3: Cross multiply
    1,067.40x = 1,601.50 × 519.54
  4. Step 4: Simplify right side
    1,067.40x = 832,043.31
  5. Step 5: Solve for x
    x = 832,043.31/1,067.40
  6. Step 6: Final answer
    x = 779.50

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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.