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Finding the Fourth Proportional to 706.52, 974.63 and 426.60

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Solution

The fourth proportional to 706.52, 974.63 and 426.60 is: 588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 974.63 = 426.60 : x
  2. Step 2: Convert to fraction form
    706.52/974.63 = 426.60/x
  3. Step 3: Cross multiply
    706.52x = 974.63 × 426.60
  4. Step 4: Simplify right side
    706.52x = 415,778.22
  5. Step 5: Solve for x
    x = 415,778.22/706.52
  6. Step 6: Final answer
    x = 588.49

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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.