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Finding the Fourth Proportional to 730.74, 1,096.17 and 210.80

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Solution

The fourth proportional to 730.74, 1,096.17 and 210.80 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,096.17 = 210.80 : x
  2. Step 2: Convert to fraction form
    730.74/1,096.17 = 210.80/x
  3. Step 3: Cross multiply
    730.74x = 1,096.17 × 210.80
  4. Step 4: Simplify right side
    730.74x = 231,074.59
  5. Step 5: Solve for x
    x = 231,074.59/730.74
  6. Step 6: Final answer
    x = 316.22

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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.