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Finding the Fourth Proportional to 851.70, 1,274.31 and 563.70

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Solution

The fourth proportional to 851.70, 1,274.31 and 563.70 is: 843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.70 : 1,274.31 = 563.70 : x
  2. Step 2: Convert to fraction form
    851.70/1,274.31 = 563.70/x
  3. Step 3: Cross multiply
    851.70x = 1,274.31 × 563.70
  4. Step 4: Simplify right side
    851.70x = 718,328.55
  5. Step 5: Solve for x
    x = 718,328.55/851.70
  6. Step 6: Final answer
    x = 843.41

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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.