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Finding the Fourth Proportional to 797, 1,195.98 and 334.76

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Solution

The fourth proportional to 797, 1,195.98 and 334.76 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    797 : 1,195.98 = 334.76 : x
  2. Step 2: Convert to fraction form
    797/1,195.98 = 334.76/x
  3. Step 3: Cross multiply
    797x = 1,195.98 × 334.76
  4. Step 4: Simplify right side
    797x = 400,366.26
  5. Step 5: Solve for x
    x = 400,366.26/797
  6. Step 6: Final answer
    x = 502.34

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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.