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Finding the Fourth Proportional to 1,274.74, 1,912.17 and 350.17

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Solution

The fourth proportional to 1,274.74, 1,912.17 and 350.17 is: 525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.74 : 1,912.17 = 350.17 : x
  2. Step 2: Convert to fraction form
    1,274.74/1,912.17 = 350.17/x
  3. Step 3: Cross multiply
    1,274.74x = 1,912.17 × 350.17
  4. Step 4: Simplify right side
    1,274.74x = 669,591.86
  5. Step 5: Solve for x
    x = 669,591.86/1,274.74
  6. Step 6: Final answer
    x = 525.28

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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.