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Finding the Fourth Proportional to 1,274.98, 1,912.46 and 350.54

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Solution

The fourth proportional to 1,274.98, 1,912.46 and 350.54 is: 525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.98 : 1,912.46 = 350.54 : x
  2. Step 2: Convert to fraction form
    1,274.98/1,912.46 = 350.54/x
  3. Step 3: Cross multiply
    1,274.98x = 1,912.46 × 350.54
  4. Step 4: Simplify right side
    1,274.98x = 670,385.04
  5. Step 5: Solve for x
    x = 670,385.04/1,274.98
  6. Step 6: Final answer
    x = 525.80

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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.