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Finding the Fourth Proportional to 1,131.07, 1,696.74 and 669.37

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Solution

The fourth proportional to 1,131.07, 1,696.74 and 669.37 is: 1,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.07 : 1,696.74 = 669.37 : x
  2. Step 2: Convert to fraction form
    1,131.07/1,696.74 = 669.37/x
  3. Step 3: Cross multiply
    1,131.07x = 1,696.74 × 669.37
  4. Step 4: Simplify right side
    1,131.07x = 1,135,738.37
  5. Step 5: Solve for x
    x = 1,135,738.37/1,131.07
  6. Step 6: Final answer
    x = 1,004.13

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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.