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Finding the Fourth Proportional to 1,183.62, 1,776.04 and 534.22

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Solution

The fourth proportional to 1,183.62, 1,776.04 and 534.22 is: 801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.62 : 1,776.04 = 534.22 : x
  2. Step 2: Convert to fraction form
    1,183.62/1,776.04 = 534.22/x
  3. Step 3: Cross multiply
    1,183.62x = 1,776.04 × 534.22
  4. Step 4: Simplify right side
    1,183.62x = 948,796.09
  5. Step 5: Solve for x
    x = 948,796.09/1,183.62
  6. Step 6: Final answer
    x = 801.61

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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.