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Finding the Fourth Proportional to 816.20, 1,224.61 and 377.67

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Solution

The fourth proportional to 816.20, 1,224.61 and 377.67 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.20 : 1,224.61 = 377.67 : x
  2. Step 2: Convert to fraction form
    816.20/1,224.61 = 377.67/x
  3. Step 3: Cross multiply
    816.20x = 1,224.61 × 377.67
  4. Step 4: Simplify right side
    816.20x = 462,495.22
  5. Step 5: Solve for x
    x = 462,495.22/816.20
  6. Step 6: Final answer
    x = 566.64

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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.