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Finding the Fourth Proportional to 1,213.79, 1,673.66 and 992.05

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Solution

The fourth proportional to 1,213.79, 1,673.66 and 992.05 is: 1,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.79 : 1,673.66 = 992.05 : x
  2. Step 2: Convert to fraction form
    1,213.79/1,673.66 = 992.05/x
  3. Step 3: Cross multiply
    1,213.79x = 1,673.66 × 992.05
  4. Step 4: Simplify right side
    1,213.79x = 1,660,352.70
  5. Step 5: Solve for x
    x = 1,660,352.70/1,213.79
  6. Step 6: Final answer
    x = 1,367.91

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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.