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Finding the Fourth Proportional to 1,804.44, 2,705.16 and 765.26

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Solution

The fourth proportional to 1,804.44, 2,705.16 and 765.26 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.44 : 2,705.16 = 765.26 : x
  2. Step 2: Convert to fraction form
    1,804.44/2,705.16 = 765.26/x
  3. Step 3: Cross multiply
    1,804.44x = 2,705.16 × 765.26
  4. Step 4: Simplify right side
    1,804.44x = 2,070,137.22
  5. Step 5: Solve for x
    x = 2,070,137.22/1,804.44
  6. Step 6: Final answer
    x = 1,147.25

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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.