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Finding the Fourth Proportional to 1,091.27, 1,506.51 and 842.03

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Solution

The fourth proportional to 1,091.27, 1,506.51 and 842.03 is: 1,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.27 : 1,506.51 = 842.03 : x
  2. Step 2: Convert to fraction form
    1,091.27/1,506.51 = 842.03/x
  3. Step 3: Cross multiply
    1,091.27x = 1,506.51 × 842.03
  4. Step 4: Simplify right side
    1,091.27x = 1,268,526.62
  5. Step 5: Solve for x
    x = 1,268,526.62/1,091.27
  6. Step 6: Final answer
    x = 1,162.43

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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.