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Finding the Fourth Proportional to 705.20, 974.06 and 682.52

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Solution

The fourth proportional to 705.20, 974.06 and 682.52 is: 942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 974.06 = 682.52 : x
  2. Step 2: Convert to fraction form
    705.20/974.06 = 682.52/x
  3. Step 3: Cross multiply
    705.20x = 974.06 × 682.52
  4. Step 4: Simplify right side
    705.20x = 664,815.43
  5. Step 5: Solve for x
    x = 664,815.43/705.20
  6. Step 6: Final answer
    x = 942.73

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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.