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Finding the Fourth Proportional to 1,198.82, 1,798.95 and 468.34

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Solution

The fourth proportional to 1,198.82, 1,798.95 and 468.34 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.82 : 1,798.95 = 468.34 : x
  2. Step 2: Convert to fraction form
    1,198.82/1,798.95 = 468.34/x
  3. Step 3: Cross multiply
    1,198.82x = 1,798.95 × 468.34
  4. Step 4: Simplify right side
    1,198.82x = 842,511.25
  5. Step 5: Solve for x
    x = 842,511.25/1,198.82
  6. Step 6: Final answer
    x = 702.78

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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.