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Finding the Fourth Proportional to 1,163.82, 1,744.35 and 469.56

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Solution

The fourth proportional to 1,163.82, 1,744.35 and 469.56 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.82 : 1,744.35 = 469.56 : x
  2. Step 2: Convert to fraction form
    1,163.82/1,744.35 = 469.56/x
  3. Step 3: Cross multiply
    1,163.82x = 1,744.35 × 469.56
  4. Step 4: Simplify right side
    1,163.82x = 819,076.99
  5. Step 5: Solve for x
    x = 819,076.99/1,163.82
  6. Step 6: Final answer
    x = 703.78

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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.