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Finding the Fourth Proportional to 1,443.67, 1,991.52 and 853.18

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Solution

The fourth proportional to 1,443.67, 1,991.52 and 853.18 is: 1,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.67 : 1,991.52 = 853.18 : x
  2. Step 2: Convert to fraction form
    1,443.67/1,991.52 = 853.18/x
  3. Step 3: Cross multiply
    1,443.67x = 1,991.52 × 853.18
  4. Step 4: Simplify right side
    1,443.67x = 1,699,125.03
  5. Step 5: Solve for x
    x = 1,699,125.03/1,443.67
  6. Step 6: Final answer
    x = 1,176.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.