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Finding the Fourth Proportional to 1,273.95, 1,906.74 and 688.05

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Solution

The fourth proportional to 1,273.95, 1,906.74 and 688.05 is: 1,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.95 : 1,906.74 = 688.05 : x
  2. Step 2: Convert to fraction form
    1,273.95/1,906.74 = 688.05/x
  3. Step 3: Cross multiply
    1,273.95x = 1,906.74 × 688.05
  4. Step 4: Simplify right side
    1,273.95x = 1,311,932.46
  5. Step 5: Solve for x
    x = 1,311,932.46/1,273.95
  6. Step 6: Final answer
    x = 1,029.81

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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.