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Finding the Fourth Proportional to 730.62, 1,096.74 and 513.54

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Solution

The fourth proportional to 730.62, 1,096.74 and 513.54 is: 770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.62 : 1,096.74 = 513.54 : x
  2. Step 2: Convert to fraction form
    730.62/1,096.74 = 513.54/x
  3. Step 3: Cross multiply
    730.62x = 1,096.74 × 513.54
  4. Step 4: Simplify right side
    730.62x = 563,219.86
  5. Step 5: Solve for x
    x = 563,219.86/730.62
  6. Step 6: Final answer
    x = 770.88

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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.