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Finding the Fourth Proportional to 757.44, 1,135.56 and 514.05

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Solution

The fourth proportional to 757.44, 1,135.56 and 514.05 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.44 : 1,135.56 = 514.05 : x
  2. Step 2: Convert to fraction form
    757.44/1,135.56 = 514.05/x
  3. Step 3: Cross multiply
    757.44x = 1,135.56 × 514.05
  4. Step 4: Simplify right side
    757.44x = 583,734.62
  5. Step 5: Solve for x
    x = 583,734.62/757.44
  6. Step 6: Final answer
    x = 770.67

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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.