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Finding the Fourth Proportional to 867.09, 1,195.44 and 690.66

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Solution

The fourth proportional to 867.09, 1,195.44 and 690.66 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.09 : 1,195.44 = 690.66 : x
  2. Step 2: Convert to fraction form
    867.09/1,195.44 = 690.66/x
  3. Step 3: Cross multiply
    867.09x = 1,195.44 × 690.66
  4. Step 4: Simplify right side
    867.09x = 825,642.59
  5. Step 5: Solve for x
    x = 825,642.59/867.09
  6. Step 6: Final answer
    x = 952.20

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Why These Related Problems?

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