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Finding the Fourth Proportional to 693.21, 1,037.67 and 518.85

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Solution

The fourth proportional to 693.21, 1,037.67 and 518.85 is: 776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.21 : 1,037.67 = 518.85 : x
  2. Step 2: Convert to fraction form
    693.21/1,037.67 = 518.85/x
  3. Step 3: Cross multiply
    693.21x = 1,037.67 × 518.85
  4. Step 4: Simplify right side
    693.21x = 538,395.08
  5. Step 5: Solve for x
    x = 538,395.08/693.21
  6. Step 6: Final answer
    x = 776.67

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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.