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Finding the Fourth Proportional to 1,420.69, 1,960.47 and 791.16

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Solution

The fourth proportional to 1,420.69, 1,960.47 and 791.16 is: 1,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.69 : 1,960.47 = 791.16 : x
  2. Step 2: Convert to fraction form
    1,420.69/1,960.47 = 791.16/x
  3. Step 3: Cross multiply
    1,420.69x = 1,960.47 × 791.16
  4. Step 4: Simplify right side
    1,420.69x = 1,551,045.45
  5. Step 5: Solve for x
    x = 1,551,045.45/1,420.69
  6. Step 6: Final answer
    x = 1,091.76

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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.