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Finding the Fourth Proportional to 867.28, 1,196.48 and 572.48

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Solution

The fourth proportional to 867.28, 1,196.48 and 572.48 is: 789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.28 : 1,196.48 = 572.48 : x
  2. Step 2: Convert to fraction form
    867.28/1,196.48 = 572.48/x
  3. Step 3: Cross multiply
    867.28x = 1,196.48 × 572.48
  4. Step 4: Simplify right side
    867.28x = 684,960.87
  5. Step 5: Solve for x
    x = 684,960.87/867.28
  6. Step 6: Final answer
    x = 789.78

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