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Finding the Fourth Proportional to 797.57, 1,196.62 and 335.49

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Solution

The fourth proportional to 797.57, 1,196.62 and 335.49 is: 503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.57 : 1,196.62 = 335.49 : x
  2. Step 2: Convert to fraction form
    797.57/1,196.62 = 335.49/x
  3. Step 3: Cross multiply
    797.57x = 1,196.62 × 335.49
  4. Step 4: Simplify right side
    797.57x = 401,454.04
  5. Step 5: Solve for x
    x = 401,454.04/797.57
  6. Step 6: Final answer
    x = 503.35

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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.