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Finding the Fourth Proportional to 1,261.82, 1,741.43 and 764.60

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Solution

The fourth proportional to 1,261.82, 1,741.43 and 764.60 is: 1,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.82 : 1,741.43 = 764.60 : x
  2. Step 2: Convert to fraction form
    1,261.82/1,741.43 = 764.60/x
  3. Step 3: Cross multiply
    1,261.82x = 1,741.43 × 764.60
  4. Step 4: Simplify right side
    1,261.82x = 1,331,490.58
  5. Step 5: Solve for x
    x = 1,331,490.58/1,261.82
  6. Step 6: Final answer
    x = 1,055.21

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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.