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Finding the Fourth Proportional to 1,443.25, 1,991.61 and 853.98

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Solution

The fourth proportional to 1,443.25, 1,991.61 and 853.98 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.25 : 1,991.61 = 853.98 : x
  2. Step 2: Convert to fraction form
    1,443.25/1,991.61 = 853.98/x
  3. Step 3: Cross multiply
    1,443.25x = 1,991.61 × 853.98
  4. Step 4: Simplify right side
    1,443.25x = 1,700,795.11
  5. Step 5: Solve for x
    x = 1,700,795.11/1,443.25
  6. Step 6: Final answer
    x = 1,178.45

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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.