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Finding the Fourth Proportional to 706.62, 1,060.26 and 381.94

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Solution

The fourth proportional to 706.62, 1,060.26 and 381.94 is: 573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.62 : 1,060.26 = 381.94 : x
  2. Step 2: Convert to fraction form
    706.62/1,060.26 = 381.94/x
  3. Step 3: Cross multiply
    706.62x = 1,060.26 × 381.94
  4. Step 4: Simplify right side
    706.62x = 404,955.70
  5. Step 5: Solve for x
    x = 404,955.70/706.62
  6. Step 6: Final answer
    x = 573.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.