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Finding the Fourth Proportional to 797.98, 1,196.50 and 250

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Solution

The fourth proportional to 797.98, 1,196.50 and 250 is: 374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.98 : 1,196.50 = 250 : x
  2. Step 2: Convert to fraction form
    797.98/1,196.50 = 250/x
  3. Step 3: Cross multiply
    797.98x = 1,196.50 × 250
  4. Step 4: Simplify right side
    797.98x = 299,125
  5. Step 5: Solve for x
    x = 299,125/797.98
  6. Step 6: Final answer
    x = 374.85

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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.