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Finding the Fourth Proportional to 1,236.18, 1,706.58 and 816.87

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Solution

The fourth proportional to 1,236.18, 1,706.58 and 816.87 is: 1,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.18 : 1,706.58 = 816.87 : x
  2. Step 2: Convert to fraction form
    1,236.18/1,706.58 = 816.87/x
  3. Step 3: Cross multiply
    1,236.18x = 1,706.58 × 816.87
  4. Step 4: Simplify right side
    1,236.18x = 1,394,054.00
  5. Step 5: Solve for x
    x = 1,394,054.00/1,236.18
  6. Step 6: Final answer
    x = 1,127.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.