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Finding the Fourth Proportional to 798.36, 1,197.82 and 336.25

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Solution

The fourth proportional to 798.36, 1,197.82 and 336.25 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.36 : 1,197.82 = 336.25 : x
  2. Step 2: Convert to fraction form
    798.36/1,197.82 = 336.25/x
  3. Step 3: Cross multiply
    798.36x = 1,197.82 × 336.25
  4. Step 4: Simplify right side
    798.36x = 402,766.98
  5. Step 5: Solve for x
    x = 402,766.98/798.36
  6. Step 6: Final answer
    x = 504.49

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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.