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Finding the Fourth Proportional to 1,321.36, 1,982.16 and 396.86

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Solution

The fourth proportional to 1,321.36, 1,982.16 and 396.86 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.36 : 1,982.16 = 396.86 : x
  2. Step 2: Convert to fraction form
    1,321.36/1,982.16 = 396.86/x
  3. Step 3: Cross multiply
    1,321.36x = 1,982.16 × 396.86
  4. Step 4: Simplify right side
    1,321.36x = 786,640.02
  5. Step 5: Solve for x
    x = 786,640.02/1,321.36
  6. Step 6: Final answer
    x = 595.33

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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.