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Finding the Fourth Proportional to 1,443.29, 1,991.63 and 853.61

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Solution

The fourth proportional to 1,443.29, 1,991.63 and 853.61 is: 1,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.29 : 1,991.63 = 853.61 : x
  2. Step 2: Convert to fraction form
    1,443.29/1,991.63 = 853.61/x
  3. Step 3: Cross multiply
    1,443.29x = 1,991.63 × 853.61
  4. Step 4: Simplify right side
    1,443.29x = 1,700,061.06
  5. Step 5: Solve for x
    x = 1,700,061.06/1,443.29
  6. Step 6: Final answer
    x = 1,177.91

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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.