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Finding the Fourth Proportional to 1,274.70, 1,910.61 and 543.90

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Solution

The fourth proportional to 1,274.70, 1,910.61 and 543.90 is: 815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.70 : 1,910.61 = 543.90 : x
  2. Step 2: Convert to fraction form
    1,274.70/1,910.61 = 543.90/x
  3. Step 3: Cross multiply
    1,274.70x = 1,910.61 × 543.90
  4. Step 4: Simplify right side
    1,274.70x = 1,039,180.78
  5. Step 5: Solve for x
    x = 1,039,180.78/1,274.70
  6. Step 6: Final answer
    x = 815.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.