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Finding the Fourth Proportional to 1,212.02, 1,817.96 and 346.34

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Solution

The fourth proportional to 1,212.02, 1,817.96 and 346.34 is: 519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.02 : 1,817.96 = 346.34 : x
  2. Step 2: Convert to fraction form
    1,212.02/1,817.96 = 346.34/x
  3. Step 3: Cross multiply
    1,212.02x = 1,817.96 × 346.34
  4. Step 4: Simplify right side
    1,212.02x = 629,632.27
  5. Step 5: Solve for x
    x = 629,632.27/1,212.02
  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.