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Finding the Fourth Proportional to 863.91, 1,192.26 and 485.85

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Solution

The fourth proportional to 863.91, 1,192.26 and 485.85 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.91 : 1,192.26 = 485.85 : x
  2. Step 2: Convert to fraction form
    863.91/1,192.26 = 485.85/x
  3. Step 3: Cross multiply
    863.91x = 1,192.26 × 485.85
  4. Step 4: Simplify right side
    863.91x = 579,253.56
  5. Step 5: Solve for x
    x = 579,253.56/863.91
  6. Step 6: Final answer
    x = 670.50

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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.