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Finding the Fourth Proportional to 806.14, 1,208.67 and 546.13

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Solution

The fourth proportional to 806.14, 1,208.67 and 546.13 is: 818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.14 : 1,208.67 = 546.13 : x
  2. Step 2: Convert to fraction form
    806.14/1,208.67 = 546.13/x
  3. Step 3: Cross multiply
    806.14x = 1,208.67 × 546.13
  4. Step 4: Simplify right side
    806.14x = 660,090.95
  5. Step 5: Solve for x
    x = 660,090.95/806.14
  6. Step 6: Final answer
    x = 818.83

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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.