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Finding the Fourth Proportional to 1,274.36, 1,911.83 and 408.69

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Solution

The fourth proportional to 1,274.36, 1,911.83 and 408.69 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.36 : 1,911.83 = 408.69 : x
  2. Step 2: Convert to fraction form
    1,274.36/1,911.83 = 408.69/x
  3. Step 3: Cross multiply
    1,274.36x = 1,911.83 × 408.69
  4. Step 4: Simplify right side
    1,274.36x = 781,343.76
  5. Step 5: Solve for x
    x = 781,343.76/1,274.36
  6. Step 6: Final answer
    x = 613.13

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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.