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Finding the Fourth Proportional to 1,276.78, 1,915.18 and 699.34

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Solution

The fourth proportional to 1,276.78, 1,915.18 and 699.34 is: 1,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.78 : 1,915.18 = 699.34 : x
  2. Step 2: Convert to fraction form
    1,276.78/1,915.18 = 699.34/x
  3. Step 3: Cross multiply
    1,276.78x = 1,915.18 × 699.34
  4. Step 4: Simplify right side
    1,276.78x = 1,339,361.98
  5. Step 5: Solve for x
    x = 1,339,361.98/1,276.78
  6. Step 6: Final answer
    x = 1,049.02

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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.