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Finding the Fourth Proportional to 730.84, 1,096.26 and 298.04

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Solution

The fourth proportional to 730.84, 1,096.26 and 298.04 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.84 : 1,096.26 = 298.04 : x
  2. Step 2: Convert to fraction form
    730.84/1,096.26 = 298.04/x
  3. Step 3: Cross multiply
    730.84x = 1,096.26 × 298.04
  4. Step 4: Simplify right side
    730.84x = 326,729.33
  5. Step 5: Solve for x
    x = 326,729.33/730.84
  6. Step 6: Final answer
    x = 447.06

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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.