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Finding the Fourth Proportional to 1,213.41, 1,673.98 and 771.07

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Solution

The fourth proportional to 1,213.41, 1,673.98 and 771.07 is: 1,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.41 : 1,673.98 = 771.07 : x
  2. Step 2: Convert to fraction form
    1,213.41/1,673.98 = 771.07/x
  3. Step 3: Cross multiply
    1,213.41x = 1,673.98 × 771.07
  4. Step 4: Simplify right side
    1,213.41x = 1,290,760.11
  5. Step 5: Solve for x
    x = 1,290,760.11/1,213.41
  6. Step 6: Final answer
    x = 1,063.75

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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.