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Finding the Fourth Proportional to 863.95, 1,192.19 and 470.97

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Solution

The fourth proportional to 863.95, 1,192.19 and 470.97 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.95 : 1,192.19 = 470.97 : x
  2. Step 2: Convert to fraction form
    863.95/1,192.19 = 470.97/x
  3. Step 3: Cross multiply
    863.95x = 1,192.19 × 470.97
  4. Step 4: Simplify right side
    863.95x = 561,485.72
  5. Step 5: Solve for x
    x = 561,485.72/863.95
  6. Step 6: Final answer
    x = 649.91

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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.