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Finding the Fourth Proportional to 1,086.22, 1,629.15 and 469.81

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Solution

The fourth proportional to 1,086.22, 1,629.15 and 469.81 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.22 : 1,629.15 = 469.81 : x
  2. Step 2: Convert to fraction form
    1,086.22/1,629.15 = 469.81/x
  3. Step 3: Cross multiply
    1,086.22x = 1,629.15 × 469.81
  4. Step 4: Simplify right side
    1,086.22x = 765,390.96
  5. Step 5: Solve for x
    x = 765,390.96/1,086.22
  6. Step 6: Final answer
    x = 704.64

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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.