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Finding the Fourth Proportional to 706.62, 974.90 and 426.96

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Solution

The fourth proportional to 706.62, 974.90 and 426.96 is: 589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.62 : 974.90 = 426.96 : x
  2. Step 2: Convert to fraction form
    706.62/974.90 = 426.96/x
  3. Step 3: Cross multiply
    706.62x = 974.90 × 426.96
  4. Step 4: Simplify right side
    706.62x = 416,243.30
  5. Step 5: Solve for x
    x = 416,243.30/706.62
  6. Step 6: Final answer
    x = 589.06

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