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Finding the Fourth Proportional to 824.09, 1,233.95 and 563.45

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Solution

The fourth proportional to 824.09, 1,233.95 and 563.45 is: 843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.09 : 1,233.95 = 563.45 : x
  2. Step 2: Convert to fraction form
    824.09/1,233.95 = 563.45/x
  3. Step 3: Cross multiply
    824.09x = 1,233.95 × 563.45
  4. Step 4: Simplify right side
    824.09x = 695,260.14
  5. Step 5: Solve for x
    x = 695,260.14/824.09
  6. Step 6: Final answer
    x = 843.68

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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.