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Finding the Fourth Proportional to 863.86, 1,192.11 and 470.89

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Solution

The fourth proportional to 863.86, 1,192.11 and 470.89 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,192.11 = 470.89 : x
  2. Step 2: Convert to fraction form
    863.86/1,192.11 = 470.89/x
  3. Step 3: Cross multiply
    863.86x = 1,192.11 × 470.89
  4. Step 4: Simplify right side
    863.86x = 561,346.72
  5. Step 5: Solve for x
    x = 561,346.72/863.86
  6. Step 6: Final answer
    x = 649.81

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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.