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Finding the Fourth Proportional to 1,443.24, 1,991.44 and 853.74

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Solution

The fourth proportional to 1,443.24, 1,991.44 and 853.74 is: 1,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.24 : 1,991.44 = 853.74 : x
  2. Step 2: Convert to fraction form
    1,443.24/1,991.44 = 853.74/x
  3. Step 3: Cross multiply
    1,443.24x = 1,991.44 × 853.74
  4. Step 4: Simplify right side
    1,443.24x = 1,700,171.99
  5. Step 5: Solve for x
    x = 1,700,171.99/1,443.24
  6. Step 6: Final answer
    x = 1,178.02

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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.