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Finding the Fourth Proportional to 1,085.49, 1,496.85 and 849.03

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Solution

The fourth proportional to 1,085.49, 1,496.85 and 849.03 is: 1,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.49 : 1,496.85 = 849.03 : x
  2. Step 2: Convert to fraction form
    1,085.49/1,496.85 = 849.03/x
  3. Step 3: Cross multiply
    1,085.49x = 1,496.85 × 849.03
  4. Step 4: Simplify right side
    1,085.49x = 1,270,870.56
  5. Step 5: Solve for x
    x = 1,270,870.56/1,085.49
  6. Step 6: Final answer
    x = 1,170.78

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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.