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Finding the Fourth Proportional to 863.66, 1,192.12 and 569.03

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Solution

The fourth proportional to 863.66, 1,192.12 and 569.03 is: 785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,192.12 = 569.03 : x
  2. Step 2: Convert to fraction form
    863.66/1,192.12 = 569.03/x
  3. Step 3: Cross multiply
    863.66x = 1,192.12 × 569.03
  4. Step 4: Simplify right side
    863.66x = 678,344.66
  5. Step 5: Solve for x
    x = 678,344.66/863.66
  6. Step 6: Final answer
    x = 785.43

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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.