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Finding the Fourth Proportional to 1,183.71, 1,633.07 and 741.87

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Solution

The fourth proportional to 1,183.71, 1,633.07 and 741.87 is: 1,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.71 : 1,633.07 = 741.87 : x
  2. Step 2: Convert to fraction form
    1,183.71/1,633.07 = 741.87/x
  3. Step 3: Cross multiply
    1,183.71x = 1,633.07 × 741.87
  4. Step 4: Simplify right side
    1,183.71x = 1,211,530.84
  5. Step 5: Solve for x
    x = 1,211,530.84/1,183.71
  6. Step 6: Final answer
    x = 1,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.