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Finding the Fourth Proportional to 1,313.11, 1,969.09 and 696.68

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Solution

The fourth proportional to 1,313.11, 1,969.09 and 696.68 is: 1,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.11 : 1,969.09 = 696.68 : x
  2. Step 2: Convert to fraction form
    1,313.11/1,969.09 = 696.68/x
  3. Step 3: Cross multiply
    1,313.11x = 1,969.09 × 696.68
  4. Step 4: Simplify right side
    1,313.11x = 1,371,814.03
  5. Step 5: Solve for x
    x = 1,371,814.03/1,313.11
  6. Step 6: Final answer
    x = 1,044.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.