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Finding the Fourth Proportional to 1,086.49, 1,629.18 and 469.37

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Solution

The fourth proportional to 1,086.49, 1,629.18 and 469.37 is: 703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.49 : 1,629.18 = 469.37 : x
  2. Step 2: Convert to fraction form
    1,086.49/1,629.18 = 469.37/x
  3. Step 3: Cross multiply
    1,086.49x = 1,629.18 × 469.37
  4. Step 4: Simplify right side
    1,086.49x = 764,688.22
  5. Step 5: Solve for x
    x = 764,688.22/1,086.49
  6. Step 6: Final answer
    x = 703.82

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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.