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Finding the Fourth Proportional to 684.22, 1,027.46 and 411.66

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Solution

The fourth proportional to 684.22, 1,027.46 and 411.66 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.22 : 1,027.46 = 411.66 : x
  2. Step 2: Convert to fraction form
    684.22/1,027.46 = 411.66/x
  3. Step 3: Cross multiply
    684.22x = 1,027.46 × 411.66
  4. Step 4: Simplify right side
    684.22x = 422,964.18
  5. Step 5: Solve for x
    x = 422,964.18/684.22
  6. Step 6: Final answer
    x = 618.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.