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Finding the Fourth Proportional to 1,277.92, 1,914.32 and 764.64

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Solution

The fourth proportional to 1,277.92, 1,914.32 and 764.64 is: 1,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.92 : 1,914.32 = 764.64 : x
  2. Step 2: Convert to fraction form
    1,277.92/1,914.32 = 764.64/x
  3. Step 3: Cross multiply
    1,277.92x = 1,914.32 × 764.64
  4. Step 4: Simplify right side
    1,277.92x = 1,463,765.64
  5. Step 5: Solve for x
    x = 1,463,765.64/1,277.92
  6. Step 6: Final answer
    x = 1,145.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.