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Finding the Fourth Proportional to 1,192.09, 1,645.03 and 668.11

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Solution

The fourth proportional to 1,192.09, 1,645.03 and 668.11 is: 921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.09 : 1,645.03 = 668.11 : x
  2. Step 2: Convert to fraction form
    1,192.09/1,645.03 = 668.11/x
  3. Step 3: Cross multiply
    1,192.09x = 1,645.03 × 668.11
  4. Step 4: Simplify right side
    1,192.09x = 1,099,060.99
  5. Step 5: Solve for x
    x = 1,099,060.99/1,192.09
  6. Step 6: Final answer
    x = 921.96

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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.