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Finding the Fourth Proportional to 730.74, 1,096.13 and 408.16

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Solution

The fourth proportional to 730.74, 1,096.13 and 408.16 is: 612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,096.13 = 408.16 : x
  2. Step 2: Convert to fraction form
    730.74/1,096.13 = 408.16/x
  3. Step 3: Cross multiply
    730.74x = 1,096.13 × 408.16
  4. Step 4: Simplify right side
    730.74x = 447,396.42
  5. Step 5: Solve for x
    x = 447,396.42/730.74
  6. Step 6: Final answer
    x = 612.25

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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.