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Finding the Fourth Proportional to 1,226.98, 1,693.47 and 806.59

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Solution

The fourth proportional to 1,226.98, 1,693.47 and 806.59 is: 1,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.98 : 1,693.47 = 806.59 : x
  2. Step 2: Convert to fraction form
    1,226.98/1,693.47 = 806.59/x
  3. Step 3: Cross multiply
    1,226.98x = 1,693.47 × 806.59
  4. Step 4: Simplify right side
    1,226.98x = 1,365,935.97
  5. Step 5: Solve for x
    x = 1,365,935.97/1,226.98
  6. Step 6: Final answer
    x = 1,113.25

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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.