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Finding the Fourth Proportional to 684.55, 1,027.74 and 411.16

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Solution

The fourth proportional to 684.55, 1,027.74 and 411.16 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.55 : 1,027.74 = 411.16 : x
  2. Step 2: Convert to fraction form
    684.55/1,027.74 = 411.16/x
  3. Step 3: Cross multiply
    684.55x = 1,027.74 × 411.16
  4. Step 4: Simplify right side
    684.55x = 422,565.58
  5. Step 5: Solve for x
    x = 422,565.58/684.55
  6. Step 6: Final answer
    x = 617.29

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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.