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Finding the Fourth Proportional to 1,443.76, 1,992.56 and 854.30

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Solution

The fourth proportional to 1,443.76, 1,992.56 and 854.30 is: 1,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.76 : 1,992.56 = 854.30 : x
  2. Step 2: Convert to fraction form
    1,443.76/1,992.56 = 854.30/x
  3. Step 3: Cross multiply
    1,443.76x = 1,992.56 × 854.30
  4. Step 4: Simplify right side
    1,443.76x = 1,702,239.52
  5. Step 5: Solve for x
    x = 1,702,239.52/1,443.76
  6. Step 6: Final answer
    x = 1,179.03

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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.