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Finding the Fourth Proportional to 706.05, 1,059.17 and 219.06

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Solution

The fourth proportional to 706.05, 1,059.17 and 219.06 is: 328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 1,059.17 = 219.06 : x
  2. Step 2: Convert to fraction form
    706.05/1,059.17 = 219.06/x
  3. Step 3: Cross multiply
    706.05x = 1,059.17 × 219.06
  4. Step 4: Simplify right side
    706.05x = 232,020.68
  5. Step 5: Solve for x
    x = 232,020.68/706.05
  6. Step 6: Final answer
    x = 328.62

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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.