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Finding the Fourth Proportional to 828.06, 1,242.09 and 812.94

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Solution

The fourth proportional to 828.06, 1,242.09 and 812.94 is: 1,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.06 : 1,242.09 = 812.94 : x
  2. Step 2: Convert to fraction form
    828.06/1,242.09 = 812.94/x
  3. Step 3: Cross multiply
    828.06x = 1,242.09 × 812.94
  4. Step 4: Simplify right side
    828.06x = 1,009,744.64
  5. Step 5: Solve for x
    x = 1,009,744.64/828.06
  6. Step 6: Final answer
    x = 1,219.41

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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.