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Finding the Fourth Proportional to 770.44, 1,155.87 and 222.67

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Solution

The fourth proportional to 770.44, 1,155.87 and 222.67 is: 334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,155.87 = 222.67 : x
  2. Step 2: Convert to fraction form
    770.44/1,155.87 = 222.67/x
  3. Step 3: Cross multiply
    770.44x = 1,155.87 × 222.67
  4. Step 4: Simplify right side
    770.44x = 257,377.57
  5. Step 5: Solve for x
    x = 257,377.57/770.44
  6. Step 6: Final answer
    x = 334.07

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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.