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Finding the Fourth Proportional to 1,067.78, 1,602.19 and 580.83

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Solution

The fourth proportional to 1,067.78, 1,602.19 and 580.83 is: 871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.78 : 1,602.19 = 580.83 : x
  2. Step 2: Convert to fraction form
    1,067.78/1,602.19 = 580.83/x
  3. Step 3: Cross multiply
    1,067.78x = 1,602.19 × 580.83
  4. Step 4: Simplify right side
    1,067.78x = 930,605.32
  5. Step 5: Solve for x
    x = 930,605.32/1,067.78
  6. Step 6: Final answer
    x = 871.53

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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.