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Finding the Fourth Proportional to 1,190.09, 1,785.44 and 982.63

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Solution

The fourth proportional to 1,190.09, 1,785.44 and 982.63 is: 1,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.09 : 1,785.44 = 982.63 : x
  2. Step 2: Convert to fraction form
    1,190.09/1,785.44 = 982.63/x
  3. Step 3: Cross multiply
    1,190.09x = 1,785.44 × 982.63
  4. Step 4: Simplify right side
    1,190.09x = 1,754,431.60
  5. Step 5: Solve for x
    x = 1,754,431.60/1,190.09
  6. Step 6: Final answer
    x = 1,474.20

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Why These Related Problems?

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