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Finding the Fourth Proportional to 1,454.48, 2,007.16 and 791.33

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Solution

The fourth proportional to 1,454.48, 2,007.16 and 791.33 is: 1,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.48 : 2,007.16 = 791.33 : x
  2. Step 2: Convert to fraction form
    1,454.48/2,007.16 = 791.33/x
  3. Step 3: Cross multiply
    1,454.48x = 2,007.16 × 791.33
  4. Step 4: Simplify right side
    1,454.48x = 1,588,313.91
  5. Step 5: Solve for x
    x = 1,588,313.91/1,454.48
  6. Step 6: Final answer
    x = 1,092.02

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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.