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Finding the Fourth Proportional to 1,192.02, 1,644.96 and 668.10

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Solution

The fourth proportional to 1,192.02, 1,644.96 and 668.10 is: 921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.02 : 1,644.96 = 668.10 : x
  2. Step 2: Convert to fraction form
    1,192.02/1,644.96 = 668.10/x
  3. Step 3: Cross multiply
    1,192.02x = 1,644.96 × 668.10
  4. Step 4: Simplify right side
    1,192.02x = 1,098,997.78
  5. Step 5: Solve for x
    x = 1,098,997.78/1,192.02
  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.