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Finding the Fourth Proportional to 863.72, 1,191.93 and 470.73

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Solution

The fourth proportional to 863.72, 1,191.93 and 470.73 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,191.93 = 470.73 : x
  2. Step 2: Convert to fraction form
    863.72/1,191.93 = 470.73/x
  3. Step 3: Cross multiply
    863.72x = 1,191.93 × 470.73
  4. Step 4: Simplify right side
    863.72x = 561,077.21
  5. Step 5: Solve for x
    x = 561,077.21/863.72
  6. Step 6: Final answer
    x = 649.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.