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Finding the Fourth Proportional to 812.84, 1,219.06 and 235.60

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Solution

The fourth proportional to 812.84, 1,219.06 and 235.60 is: 353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.84 : 1,219.06 = 235.60 : x
  2. Step 2: Convert to fraction form
    812.84/1,219.06 = 235.60/x
  3. Step 3: Cross multiply
    812.84x = 1,219.06 × 235.60
  4. Step 4: Simplify right side
    812.84x = 287,210.54
  5. Step 5: Solve for x
    x = 287,210.54/812.84
  6. Step 6: Final answer
    x = 353.34

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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.