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Finding the Fourth Proportional to 730.76, 1,096.50 and 422.88

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Solution

The fourth proportional to 730.76, 1,096.50 and 422.88 is: 634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.76 : 1,096.50 = 422.88 : x
  2. Step 2: Convert to fraction form
    730.76/1,096.50 = 422.88/x
  3. Step 3: Cross multiply
    730.76x = 1,096.50 × 422.88
  4. Step 4: Simplify right side
    730.76x = 463,687.92
  5. Step 5: Solve for x
    x = 463,687.92/730.76
  6. Step 6: Final answer
    x = 634.53

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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.