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Finding the Fourth Proportional to 811.58, 1,217.36 and 806.72

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Solution

The fourth proportional to 811.58, 1,217.36 and 806.72 is: 1,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.58 : 1,217.36 = 806.72 : x
  2. Step 2: Convert to fraction form
    811.58/1,217.36 = 806.72/x
  3. Step 3: Cross multiply
    811.58x = 1,217.36 × 806.72
  4. Step 4: Simplify right side
    811.58x = 982,058.54
  5. Step 5: Solve for x
    x = 982,058.54/811.58
  6. Step 6: Final answer
    x = 1,210.07

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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.