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Finding the Fourth Proportional to 798.86, 1,198.50 and 251.06

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Solution

The fourth proportional to 798.86, 1,198.50 and 251.06 is: 376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.86 : 1,198.50 = 251.06 : x
  2. Step 2: Convert to fraction form
    798.86/1,198.50 = 251.06/x
  3. Step 3: Cross multiply
    798.86x = 1,198.50 × 251.06
  4. Step 4: Simplify right side
    798.86x = 300,895.41
  5. Step 5: Solve for x
    x = 300,895.41/798.86
  6. Step 6: Final answer
    x = 376.66

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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.