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Finding the Fourth Proportional to 1,207.26, 1,665.27 and 876.06

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Solution

The fourth proportional to 1,207.26, 1,665.27 and 876.06 is: 1,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.26 : 1,665.27 = 876.06 : x
  2. Step 2: Convert to fraction form
    1,207.26/1,665.27 = 876.06/x
  3. Step 3: Cross multiply
    1,207.26x = 1,665.27 × 876.06
  4. Step 4: Simplify right side
    1,207.26x = 1,458,876.44
  5. Step 5: Solve for x
    x = 1,458,876.44/1,207.26
  6. Step 6: Final answer
    x = 1,208.42

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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.