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Finding the Fourth Proportional to 812.82, 1,120.64 and 563.70

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Solution

The fourth proportional to 812.82, 1,120.64 and 563.70 is: 777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.82 : 1,120.64 = 563.70 : x
  2. Step 2: Convert to fraction form
    812.82/1,120.64 = 563.70/x
  3. Step 3: Cross multiply
    812.82x = 1,120.64 × 563.70
  4. Step 4: Simplify right side
    812.82x = 631,704.77
  5. Step 5: Solve for x
    x = 631,704.77/812.82
  6. Step 6: Final answer
    x = 777.18

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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.