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Finding the Fourth Proportional to 1,212.88, 1,819.32 and 347.14

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Solution

The fourth proportional to 1,212.88, 1,819.32 and 347.14 is: 520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.88 : 1,819.32 = 347.14 : x
  2. Step 2: Convert to fraction form
    1,212.88/1,819.32 = 347.14/x
  3. Step 3: Cross multiply
    1,212.88x = 1,819.32 × 347.14
  4. Step 4: Simplify right side
    1,212.88x = 631,558.74
  5. Step 5: Solve for x
    x = 631,558.74/1,212.88
  6. Step 6: Final answer
    x = 520.71

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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.