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Finding the Fourth Proportional to 806.12, 1,208.57 and 643.71

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Solution

The fourth proportional to 806.12, 1,208.57 and 643.71 is: 965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.12 : 1,208.57 = 643.71 : x
  2. Step 2: Convert to fraction form
    806.12/1,208.57 = 643.71/x
  3. Step 3: Cross multiply
    806.12x = 1,208.57 × 643.71
  4. Step 4: Simplify right side
    806.12x = 777,965.38
  5. Step 5: Solve for x
    x = 777,965.38/806.12
  6. Step 6: Final answer
    x = 965.08

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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.