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Finding the Fourth Proportional to 1,322.24, 1,823.91 and 791.06

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Solution

The fourth proportional to 1,322.24, 1,823.91 and 791.06 is: 1,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.24 : 1,823.91 = 791.06 : x
  2. Step 2: Convert to fraction form
    1,322.24/1,823.91 = 791.06/x
  3. Step 3: Cross multiply
    1,322.24x = 1,823.91 × 791.06
  4. Step 4: Simplify right side
    1,322.24x = 1,442,822.24
  5. Step 5: Solve for x
    x = 1,442,822.24/1,322.24
  6. Step 6: Final answer
    x = 1,091.20

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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.