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Finding the Fourth Proportional to 818.56, 1,222.40 and 770.56

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Solution

The fourth proportional to 818.56, 1,222.40 and 770.56 is: 1,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.56 : 1,222.40 = 770.56 : x
  2. Step 2: Convert to fraction form
    818.56/1,222.40 = 770.56/x
  3. Step 3: Cross multiply
    818.56x = 1,222.40 × 770.56
  4. Step 4: Simplify right side
    818.56x = 941,932.54
  5. Step 5: Solve for x
    x = 941,932.54/818.56
  6. Step 6: Final answer
    x = 1,150.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.