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Finding the Fourth Proportional to 1,261.75, 1,741.09 and 764.21

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Solution

The fourth proportional to 1,261.75, 1,741.09 and 764.21 is: 1,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.75 : 1,741.09 = 764.21 : x
  2. Step 2: Convert to fraction form
    1,261.75/1,741.09 = 764.21/x
  3. Step 3: Cross multiply
    1,261.75x = 1,741.09 × 764.21
  4. Step 4: Simplify right side
    1,261.75x = 1,330,558.39
  5. Step 5: Solve for x
    x = 1,330,558.39/1,261.75
  6. Step 6: Final answer
    x = 1,054.53

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1.5x scale

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.