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Finding the Fourth Proportional to 706.74, 1,060.26 and 382.47

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Solution

The fourth proportional to 706.74, 1,060.26 and 382.47 is: 573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 1,060.26 = 382.47 : x
  2. Step 2: Convert to fraction form
    706.74/1,060.26 = 382.47/x
  3. Step 3: Cross multiply
    706.74x = 1,060.26 × 382.47
  4. Step 4: Simplify right side
    706.74x = 405,517.64
  5. Step 5: Solve for x
    x = 405,517.64/706.74
  6. Step 6: Final answer
    x = 573.79

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Why These Related Problems?

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