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Finding the Fourth Proportional to 1,086.09, 1,629.14 and 469.79

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Solution

The fourth proportional to 1,086.09, 1,629.14 and 469.79 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.09 : 1,629.14 = 469.79 : x
  2. Step 2: Convert to fraction form
    1,086.09/1,629.14 = 469.79/x
  3. Step 3: Cross multiply
    1,086.09x = 1,629.14 × 469.79
  4. Step 4: Simplify right side
    1,086.09x = 765,343.19
  5. Step 5: Solve for x
    x = 765,343.19/1,086.09
  6. Step 6: Final answer
    x = 704.68

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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.