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Finding the Fourth Proportional to 1,433.19, 1,977.24 and 843.51

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Solution

The fourth proportional to 1,433.19, 1,977.24 and 843.51 is: 1,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.19 : 1,977.24 = 843.51 : x
  2. Step 2: Convert to fraction form
    1,433.19/1,977.24 = 843.51/x
  3. Step 3: Cross multiply
    1,433.19x = 1,977.24 × 843.51
  4. Step 4: Simplify right side
    1,433.19x = 1,667,821.71
  5. Step 5: Solve for x
    x = 1,667,821.71/1,433.19
  6. Step 6: Final answer
    x = 1,163.71

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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.