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Finding the Fourth Proportional to 1,091.52, 1,506.86 and 842.28

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Solution

The fourth proportional to 1,091.52, 1,506.86 and 842.28 is: 1,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.52 : 1,506.86 = 842.28 : x
  2. Step 2: Convert to fraction form
    1,091.52/1,506.86 = 842.28/x
  3. Step 3: Cross multiply
    1,091.52x = 1,506.86 × 842.28
  4. Step 4: Simplify right side
    1,091.52x = 1,269,198.04
  5. Step 5: Solve for x
    x = 1,269,198.04/1,091.52
  6. Step 6: Final answer
    x = 1,162.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.