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Finding the Fourth Proportional to 1,576.58, 2,361.27 and 755.43

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Solution

The fourth proportional to 1,576.58, 2,361.27 and 755.43 is: 1,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.58 : 2,361.27 = 755.43 : x
  2. Step 2: Convert to fraction form
    1,576.58/2,361.27 = 755.43/x
  3. Step 3: Cross multiply
    1,576.58x = 2,361.27 × 755.43
  4. Step 4: Simplify right side
    1,576.58x = 1,783,774.20
  5. Step 5: Solve for x
    x = 1,783,774.20/1,576.58
  6. Step 6: Final answer
    x = 1,131.42

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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.