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Finding the Fourth Proportional to 1,277.56, 1,915.74 and 757.63

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Solution

The fourth proportional to 1,277.56, 1,915.74 and 757.63 is: 1,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.56 : 1,915.74 = 757.63 : x
  2. Step 2: Convert to fraction form
    1,277.56/1,915.74 = 757.63/x
  3. Step 3: Cross multiply
    1,277.56x = 1,915.74 × 757.63
  4. Step 4: Simplify right side
    1,277.56x = 1,451,418.31
  5. Step 5: Solve for x
    x = 1,451,418.31/1,277.56
  6. Step 6: Final answer
    x = 1,136.09

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