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Finding the Fourth Proportional to 684.97, 1,027.86 and 274.04

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Solution

The fourth proportional to 684.97, 1,027.86 and 274.04 is: 411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.97 : 1,027.86 = 274.04 : x
  2. Step 2: Convert to fraction form
    684.97/1,027.86 = 274.04/x
  3. Step 3: Cross multiply
    684.97x = 1,027.86 × 274.04
  4. Step 4: Simplify right side
    684.97x = 281,674.75
  5. Step 5: Solve for x
    x = 281,674.75/684.97
  6. Step 6: Final answer
    x = 411.22

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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.