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Finding the Fourth Proportional to 1,213.94, 1,820.75 and 392.13

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Solution

The fourth proportional to 1,213.94, 1,820.75 and 392.13 is: 588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.94 : 1,820.75 = 392.13 : x
  2. Step 2: Convert to fraction form
    1,213.94/1,820.75 = 392.13/x
  3. Step 3: Cross multiply
    1,213.94x = 1,820.75 × 392.13
  4. Step 4: Simplify right side
    1,213.94x = 713,961.59
  5. Step 5: Solve for x
    x = 713,961.59/1,213.94
  6. Step 6: Final answer
    x = 588.14

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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.