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Finding the Fourth Proportional to 785.09, 1,169.94 and 758.97

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Solution

The fourth proportional to 785.09, 1,169.94 and 758.97 is: 1,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.09 : 1,169.94 = 758.97 : x
  2. Step 2: Convert to fraction form
    785.09/1,169.94 = 758.97/x
  3. Step 3: Cross multiply
    785.09x = 1,169.94 × 758.97
  4. Step 4: Simplify right side
    785.09x = 887,952.21
  5. Step 5: Solve for x
    x = 887,952.21/785.09
  6. Step 6: Final answer
    x = 1,131.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.