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Finding the Fourth Proportional to 1,274.51, 1,911.78 and 408.83

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Solution

The fourth proportional to 1,274.51, 1,911.78 and 408.83 is: 613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.51 : 1,911.78 = 408.83 : x
  2. Step 2: Convert to fraction form
    1,274.51/1,911.78 = 408.83/x
  3. Step 3: Cross multiply
    1,274.51x = 1,911.78 × 408.83
  4. Step 4: Simplify right side
    1,274.51x = 781,583.46
  5. Step 5: Solve for x
    x = 781,583.46/1,274.51
  6. Step 6: Final answer
    x = 613.24

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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.