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Finding the Fourth Proportional to 706.49, 1,059.84 and 219.42

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Solution

The fourth proportional to 706.49, 1,059.84 and 219.42 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.49 : 1,059.84 = 219.42 : x
  2. Step 2: Convert to fraction form
    706.49/1,059.84 = 219.42/x
  3. Step 3: Cross multiply
    706.49x = 1,059.84 × 219.42
  4. Step 4: Simplify right side
    706.49x = 232,550.09
  5. Step 5: Solve for x
    x = 232,550.09/706.49
  6. Step 6: Final answer
    x = 329.16

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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.