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Finding the Fourth Proportional to 1,322.90, 1,825.38 and 791.66

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Solution

The fourth proportional to 1,322.90, 1,825.38 and 791.66 is: 1,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,825.38 = 791.66 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,825.38 = 791.66/x
  3. Step 3: Cross multiply
    1,322.90x = 1,825.38 × 791.66
  4. Step 4: Simplify right side
    1,322.90x = 1,445,080.33
  5. Step 5: Solve for x
    x = 1,445,080.33/1,322.90
  6. Step 6: Final answer
    x = 1,092.36

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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.