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Finding the Fourth Proportional to 1,086.09, 1,627.74 and 469.62

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Solution

The fourth proportional to 1,086.09, 1,627.74 and 469.62 is: 703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.09 : 1,627.74 = 469.62 : x
  2. Step 2: Convert to fraction form
    1,086.09/1,627.74 = 469.62/x
  3. Step 3: Cross multiply
    1,086.09x = 1,627.74 × 469.62
  4. Step 4: Simplify right side
    1,086.09x = 764,419.26
  5. Step 5: Solve for x
    x = 764,419.26/1,086.09
  6. Step 6: Final answer
    x = 703.83

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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.