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Finding the Fourth Proportional to 1,091.97, 1,504.85 and 742.05

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Solution

The fourth proportional to 1,091.97, 1,504.85 and 742.05 is: 1,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.97 : 1,504.85 = 742.05 : x
  2. Step 2: Convert to fraction form
    1,091.97/1,504.85 = 742.05/x
  3. Step 3: Cross multiply
    1,091.97x = 1,504.85 × 742.05
  4. Step 4: Simplify right side
    1,091.97x = 1,116,670.23
  5. Step 5: Solve for x
    x = 1,116,670.23/1,091.97
  6. Step 6: Final answer
    x = 1,022.62

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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.