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Finding the Fourth Proportional to 1,185.09, 1,634.69 and 852.99

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Solution

The fourth proportional to 1,185.09, 1,634.69 and 852.99 is: 1,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.09 : 1,634.69 = 852.99 : x
  2. Step 2: Convert to fraction form
    1,185.09/1,634.69 = 852.99/x
  3. Step 3: Cross multiply
    1,185.09x = 1,634.69 × 852.99
  4. Step 4: Simplify right side
    1,185.09x = 1,394,369.96
  5. Step 5: Solve for x
    x = 1,394,369.96/1,185.09
  6. Step 6: Final answer
    x = 1,176.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.