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Finding the Fourth Proportional to 1,321.13, 1,983.23 and 773.71

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Solution

The fourth proportional to 1,321.13, 1,983.23 and 773.71 is: 1,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.13 : 1,983.23 = 773.71 : x
  2. Step 2: Convert to fraction form
    1,321.13/1,983.23 = 773.71/x
  3. Step 3: Cross multiply
    1,321.13x = 1,983.23 × 773.71
  4. Step 4: Simplify right side
    1,321.13x = 1,534,444.88
  5. Step 5: Solve for x
    x = 1,534,444.88/1,321.13
  6. Step 6: Final answer
    x = 1,161.46

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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.