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Finding the Fourth Proportional to 863.11, 1,192.49 and 602.29

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Solution

The fourth proportional to 863.11, 1,192.49 and 602.29 is: 832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.11 : 1,192.49 = 602.29 : x
  2. Step 2: Convert to fraction form
    863.11/1,192.49 = 602.29/x
  3. Step 3: Cross multiply
    863.11x = 1,192.49 × 602.29
  4. Step 4: Simplify right side
    863.11x = 718,224.80
  5. Step 5: Solve for x
    x = 718,224.80/863.11
  6. Step 6: Final answer
    x = 832.14

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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.