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Finding the Fourth Proportional to 864, 1,192.68 and 553.68

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Solution

The fourth proportional to 864, 1,192.68 and 553.68 is: 764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,192.68 = 553.68 : x
  2. Step 2: Convert to fraction form
    864/1,192.68 = 553.68/x
  3. Step 3: Cross multiply
    864x = 1,192.68 × 553.68
  4. Step 4: Simplify right side
    864x = 660,363.06
  5. Step 5: Solve for x
    x = 660,363.06/864
  6. Step 6: Final answer
    x = 764.31

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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.