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Finding the Fourth Proportional to 706.87, 1,060.31 and 219.91

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Solution

The fourth proportional to 706.87, 1,060.31 and 219.91 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.87 : 1,060.31 = 219.91 : x
  2. Step 2: Convert to fraction form
    706.87/1,060.31 = 219.91/x
  3. Step 3: Cross multiply
    706.87x = 1,060.31 × 219.91
  4. Step 4: Simplify right side
    706.87x = 233,172.77
  5. Step 5: Solve for x
    x = 233,172.77/706.87
  6. Step 6: Final answer
    x = 329.87

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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.