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Finding the Fourth Proportional to 798.54, 1,197.84 and 250.74

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Solution

The fourth proportional to 798.54, 1,197.84 and 250.74 is: 376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,197.84 = 250.74 : x
  2. Step 2: Convert to fraction form
    798.54/1,197.84 = 250.74/x
  3. Step 3: Cross multiply
    798.54x = 1,197.84 × 250.74
  4. Step 4: Simplify right side
    798.54x = 300,346.40
  5. Step 5: Solve for x
    x = 300,346.40/798.54
  6. Step 6: Final answer
    x = 376.12

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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.