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Finding the Fourth Proportional to 1,321.03, 1,981.41 and 832.60

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Solution

The fourth proportional to 1,321.03, 1,981.41 and 832.60 is: 1,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.03 : 1,981.41 = 832.60 : x
  2. Step 2: Convert to fraction form
    1,321.03/1,981.41 = 832.60/x
  3. Step 3: Cross multiply
    1,321.03x = 1,981.41 × 832.60
  4. Step 4: Simplify right side
    1,321.03x = 1,649,721.97
  5. Step 5: Solve for x
    x = 1,649,721.97/1,321.03
  6. Step 6: Final answer
    x = 1,248.81

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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.