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Finding the Fourth Proportional to 863.87, 1,192.14 and 470.90

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Solution

The fourth proportional to 863.87, 1,192.14 and 470.90 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,192.14 = 470.90 : x
  2. Step 2: Convert to fraction form
    863.87/1,192.14 = 470.90/x
  3. Step 3: Cross multiply
    863.87x = 1,192.14 × 470.90
  4. Step 4: Simplify right side
    863.87x = 561,381.71
  5. Step 5: Solve for x
    x = 561,381.71/863.87
  6. Step 6: Final answer
    x = 649.85

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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.