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Finding the Fourth Proportional to 1,226.74, 1,691.52 and 806.54

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Solution

The fourth proportional to 1,226.74, 1,691.52 and 806.54 is: 1,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.74 : 1,691.52 = 806.54 : x
  2. Step 2: Convert to fraction form
    1,226.74/1,691.52 = 806.54/x
  3. Step 3: Cross multiply
    1,226.74x = 1,691.52 × 806.54
  4. Step 4: Simplify right side
    1,226.74x = 1,364,278.54
  5. Step 5: Solve for x
    x = 1,364,278.54/1,226.74
  6. Step 6: Final answer
    x = 1,112.12

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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.