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Finding the Fourth Proportional to 684.69, 1,027.32 and 411.31

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Solution

The fourth proportional to 684.69, 1,027.32 and 411.31 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.69 : 1,027.32 = 411.31 : x
  2. Step 2: Convert to fraction form
    684.69/1,027.32 = 411.31/x
  3. Step 3: Cross multiply
    684.69x = 1,027.32 × 411.31
  4. Step 4: Simplify right side
    684.69x = 422,546.99
  5. Step 5: Solve for x
    x = 422,546.99/684.69
  6. Step 6: Final answer
    x = 617.14

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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.