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Finding the Fourth Proportional to 1,067.80, 1,602.23 and 519.97

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Solution

The fourth proportional to 1,067.80, 1,602.23 and 519.97 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.80 : 1,602.23 = 519.97 : x
  2. Step 2: Convert to fraction form
    1,067.80/1,602.23 = 519.97/x
  3. Step 3: Cross multiply
    1,067.80x = 1,602.23 × 519.97
  4. Step 4: Simplify right side
    1,067.80x = 833,110.86
  5. Step 5: Solve for x
    x = 833,110.86/1,067.80
  6. Step 6: Final answer
    x = 780.21

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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.