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Finding the Fourth Proportional to 1,213.46, 1,820.19 and 391.79

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Solution

The fourth proportional to 1,213.46, 1,820.19 and 391.79 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.46 : 1,820.19 = 391.79 : x
  2. Step 2: Convert to fraction form
    1,213.46/1,820.19 = 391.79/x
  3. Step 3: Cross multiply
    1,213.46x = 1,820.19 × 391.79
  4. Step 4: Simplify right side
    1,213.46x = 713,132.24
  5. Step 5: Solve for x
    x = 713,132.24/1,213.46
  6. Step 6: Final answer
    x = 587.69

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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.