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Finding the Fourth Proportional to 1,213.04, 1,819.56 and 347.48

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Solution

The fourth proportional to 1,213.04, 1,819.56 and 347.48 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.04 : 1,819.56 = 347.48 : x
  2. Step 2: Convert to fraction form
    1,213.04/1,819.56 = 347.48/x
  3. Step 3: Cross multiply
    1,213.04x = 1,819.56 × 347.48
  4. Step 4: Simplify right side
    1,213.04x = 632,260.71
  5. Step 5: Solve for x
    x = 632,260.71/1,213.04
  6. Step 6: Final answer
    x = 521.22

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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.