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Finding the Fourth Proportional to 1,261.69, 1,741.37 and 789.80

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Solution

The fourth proportional to 1,261.69, 1,741.37 and 789.80 is: 1,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.69 : 1,741.37 = 789.80 : x
  2. Step 2: Convert to fraction form
    1,261.69/1,741.37 = 789.80/x
  3. Step 3: Cross multiply
    1,261.69x = 1,741.37 × 789.80
  4. Step 4: Simplify right side
    1,261.69x = 1,375,330.08
  5. Step 5: Solve for x
    x = 1,375,330.08/1,261.69
  6. Step 6: Final answer
    x = 1,090.07

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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.