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Finding the Fourth Proportional to 1,213.82, 1,820.94 and 392.16

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Solution

The fourth proportional to 1,213.82, 1,820.94 and 392.16 is: 588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.82 : 1,820.94 = 392.16 : x
  2. Step 2: Convert to fraction form
    1,213.82/1,820.94 = 392.16/x
  3. Step 3: Cross multiply
    1,213.82x = 1,820.94 × 392.16
  4. Step 4: Simplify right side
    1,213.82x = 714,099.83
  5. Step 5: Solve for x
    x = 714,099.83/1,213.82
  6. Step 6: Final answer
    x = 588.31

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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.