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Finding the Fourth Proportional to 1,400.26, 1,932.34 and 779.26

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Solution

The fourth proportional to 1,400.26, 1,932.34 and 779.26 is: 1,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.26 : 1,932.34 = 779.26 : x
  2. Step 2: Convert to fraction form
    1,400.26/1,932.34 = 779.26/x
  3. Step 3: Cross multiply
    1,400.26x = 1,932.34 × 779.26
  4. Step 4: Simplify right side
    1,400.26x = 1,505,795.27
  5. Step 5: Solve for x
    x = 1,505,795.27/1,400.26
  6. Step 6: Final answer
    x = 1,075.37

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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.