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Finding the Fourth Proportional to 1,183.97, 1,776.64 and 490.51

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Solution

The fourth proportional to 1,183.97, 1,776.64 and 490.51 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.97 : 1,776.64 = 490.51 : x
  2. Step 2: Convert to fraction form
    1,183.97/1,776.64 = 490.51/x
  3. Step 3: Cross multiply
    1,183.97x = 1,776.64 × 490.51
  4. Step 4: Simplify right side
    1,183.97x = 871,459.69
  5. Step 5: Solve for x
    x = 871,459.69/1,183.97
  6. Step 6: Final answer
    x = 736.05

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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.