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Finding the Fourth Proportional to 806.22, 1,112.97 and 570.66

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Solution

The fourth proportional to 806.22, 1,112.97 and 570.66 is: 787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.22 : 1,112.97 = 570.66 : x
  2. Step 2: Convert to fraction form
    806.22/1,112.97 = 570.66/x
  3. Step 3: Cross multiply
    806.22x = 1,112.97 × 570.66
  4. Step 4: Simplify right side
    806.22x = 635,127.46
  5. Step 5: Solve for x
    x = 635,127.46/806.22
  6. Step 6: Final answer
    x = 787.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.