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Finding the Fourth Proportional to 1,162.37, 1,735.19 and 996.05

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Solution

The fourth proportional to 1,162.37, 1,735.19 and 996.05 is: 1,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.37 : 1,735.19 = 996.05 : x
  2. Step 2: Convert to fraction form
    1,162.37/1,735.19 = 996.05/x
  3. Step 3: Cross multiply
    1,162.37x = 1,735.19 × 996.05
  4. Step 4: Simplify right side
    1,162.37x = 1,728,329.33
  5. Step 5: Solve for x
    x = 1,728,329.33/1,162.37
  6. Step 6: Final answer
    x = 1,486.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.