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Finding the Fourth Proportional to 824.99, 1,239.30 and 566.19

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Solution

The fourth proportional to 824.99, 1,239.30 and 566.19 is: 850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,239.30 = 566.19 : x
  2. Step 2: Convert to fraction form
    824.99/1,239.30 = 566.19/x
  3. Step 3: Cross multiply
    824.99x = 1,239.30 × 566.19
  4. Step 4: Simplify right side
    824.99x = 701,679.27
  5. Step 5: Solve for x
    x = 701,679.27/824.99
  6. Step 6: Final answer
    x = 850.54

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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.