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Finding the Fourth Proportional to 1,183.23, 1,632.99 and 741.57

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Solution

The fourth proportional to 1,183.23, 1,632.99 and 741.57 is: 1,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.23 : 1,632.99 = 741.57 : x
  2. Step 2: Convert to fraction form
    1,183.23/1,632.99 = 741.57/x
  3. Step 3: Cross multiply
    1,183.23x = 1,632.99 × 741.57
  4. Step 4: Simplify right side
    1,183.23x = 1,210,976.39
  5. Step 5: Solve for x
    x = 1,210,976.39/1,183.23
  6. Step 6: Final answer
    x = 1,023.45

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