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Finding the Fourth Proportional to 856.46, 1,285.52 and 445.91

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Solution

The fourth proportional to 856.46, 1,285.52 and 445.91 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,285.52 = 445.91 : x
  2. Step 2: Convert to fraction form
    856.46/1,285.52 = 445.91/x
  3. Step 3: Cross multiply
    856.46x = 1,285.52 × 445.91
  4. Step 4: Simplify right side
    856.46x = 573,217.57
  5. Step 5: Solve for x
    x = 573,217.57/856.46
  6. Step 6: Final answer
    x = 669.29

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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.