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Finding the Fourth Proportional to 818.54, 1,134.92 and 774.80

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Solution

The fourth proportional to 818.54, 1,134.92 and 774.80 is: 1,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.54 : 1,134.92 = 774.80 : x
  2. Step 2: Convert to fraction form
    818.54/1,134.92 = 774.80/x
  3. Step 3: Cross multiply
    818.54x = 1,134.92 × 774.80
  4. Step 4: Simplify right side
    818.54x = 879,336.02
  5. Step 5: Solve for x
    x = 879,336.02/818.54
  6. Step 6: Final answer
    x = 1,074.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.