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Finding the Fourth Proportional to 1,171.98, 1,753.40 and 805.65

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Solution

The fourth proportional to 1,171.98, 1,753.40 and 805.65 is: 1,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.98 : 1,753.40 = 805.65 : x
  2. Step 2: Convert to fraction form
    1,171.98/1,753.40 = 805.65/x
  3. Step 3: Cross multiply
    1,171.98x = 1,753.40 × 805.65
  4. Step 4: Simplify right side
    1,171.98x = 1,412,622.68
  5. Step 5: Solve for x
    x = 1,412,622.68/1,171.98
  6. Step 6: Final answer
    x = 1,205.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.