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Finding the Fourth Proportional to 1,226.62, 1,693.46 and 828.97

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Solution

The fourth proportional to 1,226.62, 1,693.46 and 828.97 is: 1,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.62 : 1,693.46 = 828.97 : x
  2. Step 2: Convert to fraction form
    1,226.62/1,693.46 = 828.97/x
  3. Step 3: Cross multiply
    1,226.62x = 1,693.46 × 828.97
  4. Step 4: Simplify right side
    1,226.62x = 1,403,827.54
  5. Step 5: Solve for x
    x = 1,403,827.54/1,226.62
  6. Step 6: Final answer
    x = 1,144.47

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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.