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Finding the Fourth Proportional to 1,163.24, 1,744.99 and 383.02

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Solution

The fourth proportional to 1,163.24, 1,744.99 and 383.02 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.24 : 1,744.99 = 383.02 : x
  2. Step 2: Convert to fraction form
    1,163.24/1,744.99 = 383.02/x
  3. Step 3: Cross multiply
    1,163.24x = 1,744.99 × 383.02
  4. Step 4: Simplify right side
    1,163.24x = 668,360.75
  5. Step 5: Solve for x
    x = 668,360.75/1,163.24
  6. Step 6: Final answer
    x = 574.57

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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.