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Finding the Fourth Proportional to 1,277.31, 1,918.82 and 757.56

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Solution

The fourth proportional to 1,277.31, 1,918.82 and 757.56 is: 1,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.31 : 1,918.82 = 757.56 : x
  2. Step 2: Convert to fraction form
    1,277.31/1,918.82 = 757.56/x
  3. Step 3: Cross multiply
    1,277.31x = 1,918.82 × 757.56
  4. Step 4: Simplify right side
    1,277.31x = 1,453,621.28
  5. Step 5: Solve for x
    x = 1,453,621.28/1,277.31
  6. Step 6: Final answer
    x = 1,138.03

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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.