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Finding the Fourth Proportional to 1,198.23, 1,798.35 and 468.33

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Solution

The fourth proportional to 1,198.23, 1,798.35 and 468.33 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.23 : 1,798.35 = 468.33 : x
  2. Step 2: Convert to fraction form
    1,198.23/1,798.35 = 468.33/x
  3. Step 3: Cross multiply
    1,198.23x = 1,798.35 × 468.33
  4. Step 4: Simplify right side
    1,198.23x = 842,221.26
  5. Step 5: Solve for x
    x = 842,221.26/1,198.23
  6. Step 6: Final answer
    x = 702.89

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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.