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Finding the Fourth Proportional to 812.00, 1,120.00 and 517.13

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Solution

The fourth proportional to 812.00, 1,120.00 and 517.13 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.00 : 1,120.00 = 517.13 : x
  2. Step 2: Convert to fraction form
    812.00/1,120.00 = 517.13/x
  3. Step 3: Cross multiply
    812.00x = 1,120.00 × 517.13
  4. Step 4: Simplify right side
    812.00x = 579,191.63
  5. Step 5: Solve for x
    x = 579,191.63/812.00
  6. Step 6: Final answer
    x = 713.29

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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.