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Finding the Fourth Proportional to 867.28, 1,197.24 and 552.97

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Solution

The fourth proportional to 867.28, 1,197.24 and 552.97 is: 763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.28 : 1,197.24 = 552.97 : x
  2. Step 2: Convert to fraction form
    867.28/1,197.24 = 552.97/x
  3. Step 3: Cross multiply
    867.28x = 1,197.24 × 552.97
  4. Step 4: Simplify right side
    867.28x = 662,040.46
  5. Step 5: Solve for x
    x = 662,040.46/867.28
  6. Step 6: Final answer
    x = 763.35

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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.