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Finding the Fourth Proportional to 856.88, 1,286.04 and 344.24

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Solution

The fourth proportional to 856.88, 1,286.04 and 344.24 is: 516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.88 : 1,286.04 = 344.24 : x
  2. Step 2: Convert to fraction form
    856.88/1,286.04 = 344.24/x
  3. Step 3: Cross multiply
    856.88x = 1,286.04 × 344.24
  4. Step 4: Simplify right side
    856.88x = 442,706.41
  5. Step 5: Solve for x
    x = 442,706.41/856.88
  6. Step 6: Final answer
    x = 516.65

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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.