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Finding the Fourth Proportional to 796.96, 1,195.26 and 303.27

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Solution

The fourth proportional to 796.96, 1,195.26 and 303.27 is: 454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.96 : 1,195.26 = 303.27 : x
  2. Step 2: Convert to fraction form
    796.96/1,195.26 = 303.27/x
  3. Step 3: Cross multiply
    796.96x = 1,195.26 × 303.27
  4. Step 4: Simplify right side
    796.96x = 362,482.59
  5. Step 5: Solve for x
    x = 362,482.59/796.96
  6. Step 6: Final answer
    x = 454.83

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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.