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Finding the Fourth Proportional to 982.33, 1,468.94 and 798.26

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Solution

The fourth proportional to 982.33, 1,468.94 and 798.26 is: 1,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.33 : 1,468.94 = 798.26 : x
  2. Step 2: Convert to fraction form
    982.33/1,468.94 = 798.26/x
  3. Step 3: Cross multiply
    982.33x = 1,468.94 × 798.26
  4. Step 4: Simplify right side
    982.33x = 1,172,584.71
  5. Step 5: Solve for x
    x = 1,172,584.71/982.33
  6. Step 6: Final answer
    x = 1,193.68

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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.