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Finding the Fourth Proportional to 1,192.73, 1,645.41 and 773.22

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Solution

The fourth proportional to 1,192.73, 1,645.41 and 773.22 is: 1,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.73 : 1,645.41 = 773.22 : x
  2. Step 2: Convert to fraction form
    1,192.73/1,645.41 = 773.22/x
  3. Step 3: Cross multiply
    1,192.73x = 1,645.41 × 773.22
  4. Step 4: Simplify right side
    1,192.73x = 1,272,263.92
  5. Step 5: Solve for x
    x = 1,272,263.92/1,192.73
  6. Step 6: Final answer
    x = 1,066.68

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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.