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Finding the Fourth Proportional to 864.11, 1,192.16 and 553.79

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Solution

The fourth proportional to 864.11, 1,192.16 and 553.79 is: 764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.11 : 1,192.16 = 553.79 : x
  2. Step 2: Convert to fraction form
    864.11/1,192.16 = 553.79/x
  3. Step 3: Cross multiply
    864.11x = 1,192.16 × 553.79
  4. Step 4: Simplify right side
    864.11x = 660,203.52
  5. Step 5: Solve for x
    x = 660,203.52/864.11
  6. Step 6: Final answer
    x = 764.03

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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.