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Finding the Fourth Proportional to 1,274.47, 1,912.73 and 494.84

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Solution

The fourth proportional to 1,274.47, 1,912.73 and 494.84 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.47 : 1,912.73 = 494.84 : x
  2. Step 2: Convert to fraction form
    1,274.47/1,912.73 = 494.84/x
  3. Step 3: Cross multiply
    1,274.47x = 1,912.73 × 494.84
  4. Step 4: Simplify right side
    1,274.47x = 946,497.62
  5. Step 5: Solve for x
    x = 946,497.62/1,274.47
  6. Step 6: Final answer
    x = 742.66

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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.