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Finding the Fourth Proportional to 1,393.41, 2,093.36 and 816.69

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Solution

The fourth proportional to 1,393.41, 2,093.36 and 816.69 is: 1,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.41 : 2,093.36 = 816.69 : x
  2. Step 2: Convert to fraction form
    1,393.41/2,093.36 = 816.69/x
  3. Step 3: Cross multiply
    1,393.41x = 2,093.36 × 816.69
  4. Step 4: Simplify right side
    1,393.41x = 1,709,622.09
  5. Step 5: Solve for x
    x = 1,709,622.09/1,393.41
  6. Step 6: Final answer
    x = 1,226.93

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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.