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Finding the Fourth Proportional to 797.39, 1,196.54 and 335.13

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Solution

The fourth proportional to 797.39, 1,196.54 and 335.13 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.39 : 1,196.54 = 335.13 : x
  2. Step 2: Convert to fraction form
    797.39/1,196.54 = 335.13/x
  3. Step 3: Cross multiply
    797.39x = 1,196.54 × 335.13
  4. Step 4: Simplify right side
    797.39x = 400,994.77
  5. Step 5: Solve for x
    x = 400,994.77/797.39
  6. Step 6: Final answer
    x = 502.89

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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.