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Finding the Fourth Proportional to 706.46, 1,059.70 and 321.26

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Solution

The fourth proportional to 706.46, 1,059.70 and 321.26 is: 481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,059.70 = 321.26 : x
  2. Step 2: Convert to fraction form
    706.46/1,059.70 = 321.26/x
  3. Step 3: Cross multiply
    706.46x = 1,059.70 × 321.26
  4. Step 4: Simplify right side
    706.46x = 340,439.22
  5. Step 5: Solve for x
    x = 340,439.22/706.46
  6. Step 6: Final answer
    x = 481.89

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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.