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Finding the Fourth Proportional to 828.25, 1,242.35 and 211.94

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Solution

The fourth proportional to 828.25, 1,242.35 and 211.94 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.25 : 1,242.35 = 211.94 : x
  2. Step 2: Convert to fraction form
    828.25/1,242.35 = 211.94/x
  3. Step 3: Cross multiply
    828.25x = 1,242.35 × 211.94
  4. Step 4: Simplify right side
    828.25x = 263,303.66
  5. Step 5: Solve for x
    x = 263,303.66/828.25
  6. Step 6: Final answer
    x = 317.91

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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.