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Finding the Fourth Proportional to 828.54, 1,242.77 and 212.25

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Solution

The fourth proportional to 828.54, 1,242.77 and 212.25 is: 318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,242.77 = 212.25 : x
  2. Step 2: Convert to fraction form
    828.54/1,242.77 = 212.25/x
  3. Step 3: Cross multiply
    828.54x = 1,242.77 × 212.25
  4. Step 4: Simplify right side
    828.54x = 263,772.51
  5. Step 5: Solve for x
    x = 263,772.51/828.54
  6. Step 6: Final answer
    x = 318.36

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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.