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Finding the Fourth Proportional to 1,077.73, 1,486.12 and 853.29

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Solution

The fourth proportional to 1,077.73, 1,486.12 and 853.29 is: 1,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.73 : 1,486.12 = 853.29 : x
  2. Step 2: Convert to fraction form
    1,077.73/1,486.12 = 853.29/x
  3. Step 3: Cross multiply
    1,077.73x = 1,486.12 × 853.29
  4. Step 4: Simplify right side
    1,077.73x = 1,268,091.33
  5. Step 5: Solve for x
    x = 1,268,091.33/1,077.73
  6. Step 6: Final answer
    x = 1,176.63

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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.