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Finding the Fourth Proportional to 1,234.05, 1,702.02 and 791.99

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Solution

The fourth proportional to 1,234.05, 1,702.02 and 791.99 is: 1,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.05 : 1,702.02 = 791.99 : x
  2. Step 2: Convert to fraction form
    1,234.05/1,702.02 = 791.99/x
  3. Step 3: Cross multiply
    1,234.05x = 1,702.02 × 791.99
  4. Step 4: Simplify right side
    1,234.05x = 1,347,974.31
  5. Step 5: Solve for x
    x = 1,347,974.31/1,234.05
  6. Step 6: Final answer
    x = 1,092.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.