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Finding the Fourth Proportional to 513.77, 770.73 and 189.11

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Solution

The fourth proportional to 513.77, 770.73 and 189.11 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.77 : 770.73 = 189.11 : x
  2. Step 2: Convert to fraction form
    513.77/770.73 = 189.11/x
  3. Step 3: Cross multiply
    513.77x = 770.73 × 189.11
  4. Step 4: Simplify right side
    513.77x = 145,749.63
  5. Step 5: Solve for x
    x = 145,749.63/513.77
  6. Step 6: Final answer
    x = 283.69

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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.