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Finding the Fourth Proportional to 1,179.23, 1,766.27 and 853.88

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Solution

The fourth proportional to 1,179.23, 1,766.27 and 853.88 is: 1,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.23 : 1,766.27 = 853.88 : x
  2. Step 2: Convert to fraction form
    1,179.23/1,766.27 = 853.88/x
  3. Step 3: Cross multiply
    1,179.23x = 1,766.27 × 853.88
  4. Step 4: Simplify right side
    1,179.23x = 1,508,175.93
  5. Step 5: Solve for x
    x = 1,508,175.93/1,179.23
  6. Step 6: Final answer
    x = 1,278.96

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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.