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Finding the Fourth Proportional to 1,192.30, 1,645.50 and 668.22

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Solution

The fourth proportional to 1,192.30, 1,645.50 and 668.22 is: 922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.30 : 1,645.50 = 668.22 : x
  2. Step 2: Convert to fraction form
    1,192.30/1,645.50 = 668.22/x
  3. Step 3: Cross multiply
    1,192.30x = 1,645.50 × 668.22
  4. Step 4: Simplify right side
    1,192.30x = 1,099,556.01
  5. Step 5: Solve for x
    x = 1,099,556.01/1,192.30
  6. Step 6: Final answer
    x = 922.21

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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.