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Finding the Fourth Proportional to 806.71, 1,208.26 and 701.25

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Solution

The fourth proportional to 806.71, 1,208.26 and 701.25 is: 1,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.71 : 1,208.26 = 701.25 : x
  2. Step 2: Convert to fraction form
    806.71/1,208.26 = 701.25/x
  3. Step 3: Cross multiply
    806.71x = 1,208.26 × 701.25
  4. Step 4: Simplify right side
    806.71x = 847,292.33
  5. Step 5: Solve for x
    x = 847,292.33/806.71
  6. Step 6: Final answer
    x = 1,050.31

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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.