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Finding the Fourth Proportional to 797, 1,195.33 and 334.66

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Solution

The fourth proportional to 797, 1,195.33 and 334.66 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    797 : 1,195.33 = 334.66 : x
  2. Step 2: Convert to fraction form
    797/1,195.33 = 334.66/x
  3. Step 3: Cross multiply
    797x = 1,195.33 × 334.66
  4. Step 4: Simplify right side
    797x = 400,029.14
  5. Step 5: Solve for x
    x = 400,029.14/797
  6. Step 6: Final answer
    x = 501.92

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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.