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Finding the Fourth Proportional to 843.70, 1,263.87 and 514.23

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Solution

The fourth proportional to 843.70, 1,263.87 and 514.23 is: 770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.70 : 1,263.87 = 514.23 : x
  2. Step 2: Convert to fraction form
    843.70/1,263.87 = 514.23/x
  3. Step 3: Cross multiply
    843.70x = 1,263.87 × 514.23
  4. Step 4: Simplify right side
    843.70x = 649,922.24
  5. Step 5: Solve for x
    x = 649,922.24/843.70
  6. Step 6: Final answer
    x = 770.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.