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Finding the Fourth Proportional to 812.94, 1,219.61 and 257.63

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Solution

The fourth proportional to 812.94, 1,219.61 and 257.63 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.94 : 1,219.61 = 257.63 : x
  2. Step 2: Convert to fraction form
    812.94/1,219.61 = 257.63/x
  3. Step 3: Cross multiply
    812.94x = 1,219.61 × 257.63
  4. Step 4: Simplify right side
    812.94x = 314,208.08
  5. Step 5: Solve for x
    x = 314,208.08/812.94
  6. Step 6: Final answer
    x = 386.51

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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.