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Finding the Fourth Proportional to 864, 1,192.56 and 553.44

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Solution

The fourth proportional to 864, 1,192.56 and 553.44 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,192.56 = 553.44 : x
  2. Step 2: Convert to fraction form
    864/1,192.56 = 553.44/x
  3. Step 3: Cross multiply
    864x = 1,192.56 × 553.44
  4. Step 4: Simplify right side
    864x = 660,010.41
  5. Step 5: Solve for x
    x = 660,010.41/864
  6. Step 6: Final answer
    x = 763.90

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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.