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Finding the Fourth Proportional to 1,163.10, 1,744.90 and 341.31

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Solution

The fourth proportional to 1,163.10, 1,744.90 and 341.31 is: 512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.10 : 1,744.90 = 341.31 : x
  2. Step 2: Convert to fraction form
    1,163.10/1,744.90 = 341.31/x
  3. Step 3: Cross multiply
    1,163.10x = 1,744.90 × 341.31
  4. Step 4: Simplify right side
    1,163.10x = 595,551.82
  5. Step 5: Solve for x
    x = 595,551.82/1,163.10
  6. Step 6: Final answer
    x = 512.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.