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Finding the Fourth Proportional to 1,116.81, 1,672.09 and 842.07

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Solution

The fourth proportional to 1,116.81, 1,672.09 and 842.07 is: 1,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.81 : 1,672.09 = 842.07 : x
  2. Step 2: Convert to fraction form
    1,116.81/1,672.09 = 842.07/x
  3. Step 3: Cross multiply
    1,116.81x = 1,672.09 × 842.07
  4. Step 4: Simplify right side
    1,116.81x = 1,408,016.83
  5. Step 5: Solve for x
    x = 1,408,016.83/1,116.81
  6. Step 6: Final answer
    x = 1,260.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.