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Finding the Fourth Proportional to 1,236.37, 1,706.73 and 816.93

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Solution

The fourth proportional to 1,236.37, 1,706.73 and 816.93 is: 1,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.37 : 1,706.73 = 816.93 : x
  2. Step 2: Convert to fraction form
    1,236.37/1,706.73 = 816.93/x
  3. Step 3: Cross multiply
    1,236.37x = 1,706.73 × 816.93
  4. Step 4: Simplify right side
    1,236.37x = 1,394,278.94
  5. Step 5: Solve for x
    x = 1,394,278.94/1,236.37
  6. Step 6: Final answer
    x = 1,127.72

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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.