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Finding the Fourth Proportional to 1,420.78, 1,960.54 and 791.23

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Solution

The fourth proportional to 1,420.78, 1,960.54 and 791.23 is: 1,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.78 : 1,960.54 = 791.23 : x
  2. Step 2: Convert to fraction form
    1,420.78/1,960.54 = 791.23/x
  3. Step 3: Cross multiply
    1,420.78x = 1,960.54 × 791.23
  4. Step 4: Simplify right side
    1,420.78x = 1,551,234.86
  5. Step 5: Solve for x
    x = 1,551,234.86/1,420.78
  6. Step 6: Final answer
    x = 1,091.82

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