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Finding the Fourth Proportional to 684.74, 1,027.49 and 411.36

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Solution

The fourth proportional to 684.74, 1,027.49 and 411.36 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 1,027.49 = 411.36 : x
  2. Step 2: Convert to fraction form
    684.74/1,027.49 = 411.36/x
  3. Step 3: Cross multiply
    684.74x = 1,027.49 × 411.36
  4. Step 4: Simplify right side
    684.74x = 422,668.29
  5. Step 5: Solve for x
    x = 422,668.29/684.74
  6. Step 6: Final answer
    x = 617.27

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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.