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Finding the Fourth Proportional to 816.99, 1,224.70 and 523.67

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Solution

The fourth proportional to 816.99, 1,224.70 and 523.67 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.99 : 1,224.70 = 523.67 : x
  2. Step 2: Convert to fraction form
    816.99/1,224.70 = 523.67/x
  3. Step 3: Cross multiply
    816.99x = 1,224.70 × 523.67
  4. Step 4: Simplify right side
    816.99x = 641,341.05
  5. Step 5: Solve for x
    x = 641,341.05/816.99
  6. Step 6: Final answer
    x = 785.00

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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.