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Finding the Fourth Proportional to 1,236.87, 1,696.75 and 1,162.35

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Solution

The fourth proportional to 1,236.87, 1,696.75 and 1,162.35 is: 1,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.87 : 1,696.75 = 1,162.35 : x
  2. Step 2: Convert to fraction form
    1,236.87/1,696.75 = 1,162.35/x
  3. Step 3: Cross multiply
    1,236.87x = 1,696.75 × 1,162.35
  4. Step 4: Simplify right side
    1,236.87x = 1,972,214.46
  5. Step 5: Solve for x
    x = 1,972,214.46/1,236.87
  6. Step 6: Final answer
    x = 1,594.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.