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Finding the Fourth Proportional to 812.16, 1,120.32 and 517.56

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Solution

The fourth proportional to 812.16, 1,120.32 and 517.56 is: 713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,120.32 = 517.56 : x
  2. Step 2: Convert to fraction form
    812.16/1,120.32 = 517.56/x
  3. Step 3: Cross multiply
    812.16x = 1,120.32 × 517.56
  4. Step 4: Simplify right side
    812.16x = 579,832.82
  5. Step 5: Solve for x
    x = 579,832.82/812.16
  6. Step 6: Final answer
    x = 713.94

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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.