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Finding the Fourth Proportional to 1,213.83, 1,820.43 and 392.19

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Solution

The fourth proportional to 1,213.83, 1,820.43 and 392.19 is: 588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.83 : 1,820.43 = 392.19 : x
  2. Step 2: Convert to fraction form
    1,213.83/1,820.43 = 392.19/x
  3. Step 3: Cross multiply
    1,213.83x = 1,820.43 × 392.19
  4. Step 4: Simplify right side
    1,213.83x = 713,954.44
  5. Step 5: Solve for x
    x = 713,954.44/1,213.83
  6. Step 6: Final answer
    x = 588.18

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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.