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Finding the Fourth Proportional to 684.99, 1,027.69 and 411.41

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Solution

The fourth proportional to 684.99, 1,027.69 and 411.41 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 1,027.69 = 411.41 : x
  2. Step 2: Convert to fraction form
    684.99/1,027.69 = 411.41/x
  3. Step 3: Cross multiply
    684.99x = 1,027.69 × 411.41
  4. Step 4: Simplify right side
    684.99x = 422,803.48
  5. Step 5: Solve for x
    x = 422,803.48/684.99
  6. Step 6: Final answer
    x = 617.24

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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.