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Finding the Fourth Proportional to 513.83, 770.66 and 189.12

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Solution

The fourth proportional to 513.83, 770.66 and 189.12 is: 283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.83 : 770.66 = 189.12 : x
  2. Step 2: Convert to fraction form
    513.83/770.66 = 189.12/x
  3. Step 3: Cross multiply
    513.83x = 770.66 × 189.12
  4. Step 4: Simplify right side
    513.83x = 145,746.27
  5. Step 5: Solve for x
    x = 145,746.27/513.83
  6. Step 6: Final answer
    x = 283.65

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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.