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Finding the Fourth Proportional to 796.56, 1,195.01 and 276.58

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Solution

The fourth proportional to 796.56, 1,195.01 and 276.58 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,195.01 = 276.58 : x
  2. Step 2: Convert to fraction form
    796.56/1,195.01 = 276.58/x
  3. Step 3: Cross multiply
    796.56x = 1,195.01 × 276.58
  4. Step 4: Simplify right side
    796.56x = 330,512.88
  5. Step 5: Solve for x
    x = 330,512.88/796.56
  6. Step 6: Final answer
    x = 414.93

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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.