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Finding the Fourth Proportional to 867.57, 1,196.26 and 775.41

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Solution

The fourth proportional to 867.57, 1,196.26 and 775.41 is: 1,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.57 : 1,196.26 = 775.41 : x
  2. Step 2: Convert to fraction form
    867.57/1,196.26 = 775.41/x
  3. Step 3: Cross multiply
    867.57x = 1,196.26 × 775.41
  4. Step 4: Simplify right side
    867.57x = 927,591.97
  5. Step 5: Solve for x
    x = 927,591.97/867.57
  6. Step 6: Final answer
    x = 1,069.18

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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.