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Finding the Fourth Proportional to 1,213.52, 1,820.34 and 392.04

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Solution

The fourth proportional to 1,213.52, 1,820.34 and 392.04 is: 588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.52 : 1,820.34 = 392.04 : x
  2. Step 2: Convert to fraction form
    1,213.52/1,820.34 = 392.04/x
  3. Step 3: Cross multiply
    1,213.52x = 1,820.34 × 392.04
  4. Step 4: Simplify right side
    1,213.52x = 713,646.09
  5. Step 5: Solve for x
    x = 713,646.09/1,213.52
  6. Step 6: Final answer
    x = 588.08

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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.