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Finding the Fourth Proportional to 1,261.56, 1,740.75 and 764.22

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Solution

The fourth proportional to 1,261.56, 1,740.75 and 764.22 is: 1,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.56 : 1,740.75 = 764.22 : x
  2. Step 2: Convert to fraction form
    1,261.56/1,740.75 = 764.22/x
  3. Step 3: Cross multiply
    1,261.56x = 1,740.75 × 764.22
  4. Step 4: Simplify right side
    1,261.56x = 1,330,315.97
  5. Step 5: Solve for x
    x = 1,330,315.97/1,261.56
  6. Step 6: Final answer
    x = 1,054.50

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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.