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Finding the Fourth Proportional to 796.44, 1,194.84 and 309.72

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Solution

The fourth proportional to 796.44, 1,194.84 and 309.72 is: 464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.44 : 1,194.84 = 309.72 : x
  2. Step 2: Convert to fraction form
    796.44/1,194.84 = 309.72/x
  3. Step 3: Cross multiply
    796.44x = 1,194.84 × 309.72
  4. Step 4: Simplify right side
    796.44x = 370,065.84
  5. Step 5: Solve for x
    x = 370,065.84/796.44
  6. Step 6: Final answer
    x = 464.65

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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.