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Finding the Fourth Proportional to 812.07, 1,120.14 and 516.83

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Solution

The fourth proportional to 812.07, 1,120.14 and 516.83 is: 712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.07 : 1,120.14 = 516.83 : x
  2. Step 2: Convert to fraction form
    812.07/1,120.14 = 516.83/x
  3. Step 3: Cross multiply
    812.07x = 1,120.14 × 516.83
  4. Step 4: Simplify right side
    812.07x = 578,916.36
  5. Step 5: Solve for x
    x = 578,916.36/812.07
  6. Step 6: Final answer
    x = 712.89

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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.