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Finding the Fourth Proportional to 1,213.10, 1,674.88 and 819.98

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Solution

The fourth proportional to 1,213.10, 1,674.88 and 819.98 is: 1,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.10 : 1,674.88 = 819.98 : x
  2. Step 2: Convert to fraction form
    1,213.10/1,674.88 = 819.98/x
  3. Step 3: Cross multiply
    1,213.10x = 1,674.88 × 819.98
  4. Step 4: Simplify right side
    1,213.10x = 1,373,357.68
  5. Step 5: Solve for x
    x = 1,373,357.68/1,213.10
  6. Step 6: Final answer
    x = 1,132.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.