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Finding the Fourth Proportional to 798.54, 1,198.34 and 365.70

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Solution

The fourth proportional to 798.54, 1,198.34 and 365.70 is: 548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,198.34 = 365.70 : x
  2. Step 2: Convert to fraction form
    798.54/1,198.34 = 365.70/x
  3. Step 3: Cross multiply
    798.54x = 1,198.34 × 365.70
  4. Step 4: Simplify right side
    798.54x = 438,232.94
  5. Step 5: Solve for x
    x = 438,232.94/798.54
  6. Step 6: Final answer
    x = 548.79

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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.