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Finding the Fourth Proportional to 706.69, 1,060.14 and 219.64

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Solution

The fourth proportional to 706.69, 1,060.14 and 219.64 is: 329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 1,060.14 = 219.64 : x
  2. Step 2: Convert to fraction form
    706.69/1,060.14 = 219.64/x
  3. Step 3: Cross multiply
    706.69x = 1,060.14 × 219.64
  4. Step 4: Simplify right side
    706.69x = 232,849.15
  5. Step 5: Solve for x
    x = 232,849.15/706.69
  6. Step 6: Final answer
    x = 329.49

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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.