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Finding the Fourth Proportional to 1,198.98, 1,797.70 and 468.63

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Solution

The fourth proportional to 1,198.98, 1,797.70 and 468.63 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.98 : 1,797.70 = 468.63 : x
  2. Step 2: Convert to fraction form
    1,198.98/1,797.70 = 468.63/x
  3. Step 3: Cross multiply
    1,198.98x = 1,797.70 × 468.63
  4. Step 4: Simplify right side
    1,198.98x = 842,456.15
  5. Step 5: Solve for x
    x = 842,456.15/1,198.98
  6. Step 6: Final answer
    x = 702.64

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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.