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Finding the Fourth Proportional to 706.09, 1,059.32 and 321.25

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Solution

The fourth proportional to 706.09, 1,059.32 and 321.25 is: 481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.09 : 1,059.32 = 321.25 : x
  2. Step 2: Convert to fraction form
    706.09/1,059.32 = 321.25/x
  3. Step 3: Cross multiply
    706.09x = 1,059.32 × 321.25
  4. Step 4: Simplify right side
    706.09x = 340,306.55
  5. Step 5: Solve for x
    x = 340,306.55/706.09
  6. Step 6: Final answer
    x = 481.96

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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.