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Finding the Fourth Proportional to 1,260.73, 1,890.82 and 791.98

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Solution

The fourth proportional to 1,260.73, 1,890.82 and 791.98 is: 1,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.73 : 1,890.82 = 791.98 : x
  2. Step 2: Convert to fraction form
    1,260.73/1,890.82 = 791.98/x
  3. Step 3: Cross multiply
    1,260.73x = 1,890.82 × 791.98
  4. Step 4: Simplify right side
    1,260.73x = 1,497,491.62
  5. Step 5: Solve for x
    x = 1,497,491.62/1,260.73
  6. Step 6: Final answer
    x = 1,187.80

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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.