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Finding the Fourth Proportional to 824.05, 1,225.47 and 798.09

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Solution

The fourth proportional to 824.05, 1,225.47 and 798.09 is: 1,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.05 : 1,225.47 = 798.09 : x
  2. Step 2: Convert to fraction form
    824.05/1,225.47 = 798.09/x
  3. Step 3: Cross multiply
    824.05x = 1,225.47 × 798.09
  4. Step 4: Simplify right side
    824.05x = 978,035.35
  5. Step 5: Solve for x
    x = 978,035.35/824.05
  6. Step 6: Final answer
    x = 1,186.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.