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Finding the Fourth Proportional to 1,226.31, 1,686.99 and 1,076.28

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Solution

The fourth proportional to 1,226.31, 1,686.99 and 1,076.28 is: 1,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.31 : 1,686.99 = 1,076.28 : x
  2. Step 2: Convert to fraction form
    1,226.31/1,686.99 = 1,076.28/x
  3. Step 3: Cross multiply
    1,226.31x = 1,686.99 × 1,076.28
  4. Step 4: Simplify right side
    1,226.31x = 1,815,673.60
  5. Step 5: Solve for x
    x = 1,815,673.60/1,226.31
  6. Step 6: Final answer
    x = 1,480.60

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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.