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Finding the Fourth Proportional to 812.37, 1,120.80 and 517.71

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Solution

The fourth proportional to 812.37, 1,120.80 and 517.71 is: 714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.37 : 1,120.80 = 517.71 : x
  2. Step 2: Convert to fraction form
    812.37/1,120.80 = 517.71/x
  3. Step 3: Cross multiply
    812.37x = 1,120.80 × 517.71
  4. Step 4: Simplify right side
    812.37x = 580,249.37
  5. Step 5: Solve for x
    x = 580,249.37/812.37
  6. Step 6: Final answer
    x = 714.27

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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.