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Finding the Fourth Proportional to 806.67, 1,211.00 and 685.67

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Solution

The fourth proportional to 806.67, 1,211.00 and 685.67 is: 1,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.67 : 1,211.00 = 685.67 : x
  2. Step 2: Convert to fraction form
    806.67/1,211.00 = 685.67/x
  3. Step 3: Cross multiply
    806.67x = 1,211.00 × 685.67
  4. Step 4: Simplify right side
    806.67x = 830,336.89
  5. Step 5: Solve for x
    x = 830,336.89/806.67
  6. Step 6: Final answer
    x = 1,029.34

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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.