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Finding the Fourth Proportional to 1,167.14, 1,610.83 and 853.43

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Solution

The fourth proportional to 1,167.14, 1,610.83 and 853.43 is: 1,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.14 : 1,610.83 = 853.43 : x
  2. Step 2: Convert to fraction form
    1,167.14/1,610.83 = 853.43/x
  3. Step 3: Cross multiply
    1,167.14x = 1,610.83 × 853.43
  4. Step 4: Simplify right side
    1,167.14x = 1,374,730.65
  5. Step 5: Solve for x
    x = 1,374,730.65/1,167.14
  6. Step 6: Final answer
    x = 1,177.86

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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.