Home / 1,206.21-1,665.30-787.29

Finding the Fourth Proportional to 1,206.21, 1,665.30 and 787.29

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Solution

The fourth proportional to 1,206.21, 1,665.30 and 787.29 is: 1,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.21 : 1,665.30 = 787.29 : x
  2. Step 2: Convert to fraction form
    1,206.21/1,665.30 = 787.29/x
  3. Step 3: Cross multiply
    1,206.21x = 1,665.30 × 787.29
  4. Step 4: Simplify right side
    1,206.21x = 1,311,074.04
  5. Step 5: Solve for x
    x = 1,311,074.04/1,206.21
  6. Step 6: Final answer
    x = 1,086.94

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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.