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Finding the Fourth Proportional to 1,212.32, 1,817.93 and 346.43

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Solution

The fourth proportional to 1,212.32, 1,817.93 and 346.43 is: 519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.32 : 1,817.93 = 346.43 : x
  2. Step 2: Convert to fraction form
    1,212.32/1,817.93 = 346.43/x
  3. Step 3: Cross multiply
    1,212.32x = 1,817.93 × 346.43
  4. Step 4: Simplify right side
    1,212.32x = 629,785.49
  5. Step 5: Solve for x
    x = 629,785.49/1,212.32
  6. Step 6: Final answer
    x = 519.49

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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.