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Finding the Fourth Proportional to 1,213.14, 1,819.71 and 347.45

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Solution

The fourth proportional to 1,213.14, 1,819.71 and 347.45 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.14 : 1,819.71 = 347.45 : x
  2. Step 2: Convert to fraction form
    1,213.14/1,819.71 = 347.45/x
  3. Step 3: Cross multiply
    1,213.14x = 1,819.71 × 347.45
  4. Step 4: Simplify right side
    1,213.14x = 632,262.79
  5. Step 5: Solve for x
    x = 632,262.79/1,213.14
  6. Step 6: Final answer
    x = 521.18

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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.