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Finding the Fourth Proportional to 513.34, 771.07 and 499.67

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Solution

The fourth proportional to 513.34, 771.07 and 499.67 is: 750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.34 : 771.07 = 499.67 : x
  2. Step 2: Convert to fraction form
    513.34/771.07 = 499.67/x
  3. Step 3: Cross multiply
    513.34x = 771.07 × 499.67
  4. Step 4: Simplify right side
    513.34x = 385,280.55
  5. Step 5: Solve for x
    x = 385,280.55/513.34
  6. Step 6: Final answer
    x = 750.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.