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Finding the Fourth Proportional to 812.90, 1,121.50 and 518.10

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Solution

The fourth proportional to 812.90, 1,121.50 and 518.10 is: 714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.90 : 1,121.50 = 518.10 : x
  2. Step 2: Convert to fraction form
    812.90/1,121.50 = 518.10/x
  3. Step 3: Cross multiply
    812.90x = 1,121.50 × 518.10
  4. Step 4: Simplify right side
    812.90x = 581,049.15
  5. Step 5: Solve for x
    x = 581,049.15/812.90
  6. Step 6: Final answer
    x = 714.79

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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.