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Finding the Fourth Proportional to 776.87, 1,165.30 and 365.78

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Solution

The fourth proportional to 776.87, 1,165.30 and 365.78 is: 548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.87 : 1,165.30 = 365.78 : x
  2. Step 2: Convert to fraction form
    776.87/1,165.30 = 365.78/x
  3. Step 3: Cross multiply
    776.87x = 1,165.30 × 365.78
  4. Step 4: Simplify right side
    776.87x = 426,245.43
  5. Step 5: Solve for x
    x = 426,245.43/776.87
  6. Step 6: Final answer
    x = 548.67

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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.