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Finding the Fourth Proportional to 512.58, 769.05 and 501.66

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Solution

The fourth proportional to 512.58, 769.05 and 501.66 is: 752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 769.05 = 501.66 : x
  2. Step 2: Convert to fraction form
    512.58/769.05 = 501.66/x
  3. Step 3: Cross multiply
    512.58x = 769.05 × 501.66
  4. Step 4: Simplify right side
    512.58x = 385,801.62
  5. Step 5: Solve for x
    x = 385,801.62/512.58
  6. Step 6: Final answer
    x = 752.67

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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.