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Finding the Fourth Proportional to 797, 1,194.74 and 309.94

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Solution

The fourth proportional to 797, 1,194.74 and 309.94 is: 464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797 : 1,194.74 = 309.94 : x
  2. Step 2: Convert to fraction form
    797/1,194.74 = 309.94/x
  3. Step 3: Cross multiply
    797x = 1,194.74 × 309.94
  4. Step 4: Simplify right side
    797x = 370,297.72
  5. Step 5: Solve for x
    x = 370,297.72/797
  6. Step 6: Final answer
    x = 464.61

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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.