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Finding the Fourth Proportional to 1,274.21, 1,911 and 543.71

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Solution

The fourth proportional to 1,274.21, 1,911 and 543.71 is: 815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.21 : 1,911 = 543.71 : x
  2. Step 2: Convert to fraction form
    1,274.21/1,911 = 543.71/x
  3. Step 3: Cross multiply
    1,274.21x = 1,911 × 543.71
  4. Step 4: Simplify right side
    1,274.21x = 1,039,029.81
  5. Step 5: Solve for x
    x = 1,039,029.81/1,274.21
  6. Step 6: Final answer
    x = 815.43

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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.