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Finding the Fourth Proportional to 982.26, 1,472.93 and 396.80

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Solution

The fourth proportional to 982.26, 1,472.93 and 396.80 is: 595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.26 : 1,472.93 = 396.80 : x
  2. Step 2: Convert to fraction form
    982.26/1,472.93 = 396.80/x
  3. Step 3: Cross multiply
    982.26x = 1,472.93 × 396.80
  4. Step 4: Simplify right side
    982.26x = 584,449.28
  5. Step 5: Solve for x
    x = 584,449.28/982.26
  6. Step 6: Final answer
    x = 595.01

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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.