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Finding the Fourth Proportional to 1,274.76, 1,912.07 and 350.30

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Solution

The fourth proportional to 1,274.76, 1,912.07 and 350.30 is: 525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.76 : 1,912.07 = 350.30 : x
  2. Step 2: Convert to fraction form
    1,274.76/1,912.07 = 350.30/x
  3. Step 3: Cross multiply
    1,274.76x = 1,912.07 × 350.30
  4. Step 4: Simplify right side
    1,274.76x = 669,798.12
  5. Step 5: Solve for x
    x = 669,798.12/1,274.76
  6. Step 6: Final answer
    x = 525.43

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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.