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Finding the Fourth Proportional to 1,213.48, 1,820.04 and 391.78

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Solution

The fourth proportional to 1,213.48, 1,820.04 and 391.78 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.48 : 1,820.04 = 391.78 : x
  2. Step 2: Convert to fraction form
    1,213.48/1,820.04 = 391.78/x
  3. Step 3: Cross multiply
    1,213.48x = 1,820.04 × 391.78
  4. Step 4: Simplify right side
    1,213.48x = 713,055.27
  5. Step 5: Solve for x
    x = 713,055.27/1,213.48
  6. Step 6: Final answer
    x = 587.61

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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.