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Finding the Fourth Proportional to 856.24, 1,284.22 and 394

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Solution

The fourth proportional to 856.24, 1,284.22 and 394 is: 590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.24 : 1,284.22 = 394 : x
  2. Step 2: Convert to fraction form
    856.24/1,284.22 = 394/x
  3. Step 3: Cross multiply
    856.24x = 1,284.22 × 394
  4. Step 4: Simplify right side
    856.24x = 505,982.68
  5. Step 5: Solve for x
    x = 505,982.68/856.24
  6. Step 6: Final answer
    x = 590.94

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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.