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Finding the Fourth Proportional to 1,454.81, 2,007.62 and 791.65

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Solution

The fourth proportional to 1,454.81, 2,007.62 and 791.65 is: 1,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.81 : 2,007.62 = 791.65 : x
  2. Step 2: Convert to fraction form
    1,454.81/2,007.62 = 791.65/x
  3. Step 3: Cross multiply
    1,454.81x = 2,007.62 × 791.65
  4. Step 4: Simplify right side
    1,454.81x = 1,589,318.38
  5. Step 5: Solve for x
    x = 1,589,318.38/1,454.81
  6. Step 6: Final answer
    x = 1,092.46

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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.