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Finding the Fourth Proportional to 1,261.37, 1,740.76 and 764.13

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Solution

The fourth proportional to 1,261.37, 1,740.76 and 764.13 is: 1,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.37 : 1,740.76 = 764.13 : x
  2. Step 2: Convert to fraction form
    1,261.37/1,740.76 = 764.13/x
  3. Step 3: Cross multiply
    1,261.37x = 1,740.76 × 764.13
  4. Step 4: Simplify right side
    1,261.37x = 1,330,165.03
  5. Step 5: Solve for x
    x = 1,330,165.03/1,261.37
  6. Step 6: Final answer
    x = 1,054.54

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Half scale
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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.