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Finding the Fourth Proportional to 706.72, 974.96 and 426.78

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Solution

The fourth proportional to 706.72, 974.96 and 426.78 is: 588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.72 : 974.96 = 426.78 : x
  2. Step 2: Convert to fraction form
    706.72/974.96 = 426.78/x
  3. Step 3: Cross multiply
    706.72x = 974.96 × 426.78
  4. Step 4: Simplify right side
    706.72x = 416,093.43
  5. Step 5: Solve for x
    x = 416,093.43/706.72
  6. Step 6: Final answer
    x = 588.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.