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Finding the Fourth Proportional to 1,406.56, 1,940.96 and 785.44

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Solution

The fourth proportional to 1,406.56, 1,940.96 and 785.44 is: 1,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.56 : 1,940.96 = 785.44 : x
  2. Step 2: Convert to fraction form
    1,406.56/1,940.96 = 785.44/x
  3. Step 3: Cross multiply
    1,406.56x = 1,940.96 × 785.44
  4. Step 4: Simplify right side
    1,406.56x = 1,524,507.62
  5. Step 5: Solve for x
    x = 1,524,507.62/1,406.56
  6. Step 6: Final answer
    x = 1,083.86

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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.