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Finding the Fourth Proportional to 798.87, 1,198.71 and 414.12

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Solution

The fourth proportional to 798.87, 1,198.71 and 414.12 is: 621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,198.71 = 414.12 : x
  2. Step 2: Convert to fraction form
    798.87/1,198.71 = 414.12/x
  3. Step 3: Cross multiply
    798.87x = 1,198.71 × 414.12
  4. Step 4: Simplify right side
    798.87x = 496,409.79
  5. Step 5: Solve for x
    x = 496,409.79/798.87
  6. Step 6: Final answer
    x = 621.39

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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.