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Finding the Fourth Proportional to 796.32, 1,194.44 and 467.44

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Solution

The fourth proportional to 796.32, 1,194.44 and 467.44 is: 701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,194.44 = 467.44 : x
  2. Step 2: Convert to fraction form
    796.32/1,194.44 = 467.44/x
  3. Step 3: Cross multiply
    796.32x = 1,194.44 × 467.44
  4. Step 4: Simplify right side
    796.32x = 558,329.03
  5. Step 5: Solve for x
    x = 558,329.03/796.32
  6. Step 6: Final answer
    x = 701.14

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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.