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Finding the Fourth Proportional to 806.59, 1,211.91 and 514.23

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Solution

The fourth proportional to 806.59, 1,211.91 and 514.23 is: 772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.59 : 1,211.91 = 514.23 : x
  2. Step 2: Convert to fraction form
    806.59/1,211.91 = 514.23/x
  3. Step 3: Cross multiply
    806.59x = 1,211.91 × 514.23
  4. Step 4: Simplify right side
    806.59x = 623,194.01
  5. Step 5: Solve for x
    x = 623,194.01/806.59
  6. Step 6: Final answer
    x = 772.63

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Why These Related Problems?

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