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Finding the Fourth Proportional to 1,443.42, 1,991.58 and 845.82

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Solution

The fourth proportional to 1,443.42, 1,991.58 and 845.82 is: 1,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.42 : 1,991.58 = 845.82 : x
  2. Step 2: Convert to fraction form
    1,443.42/1,991.58 = 845.82/x
  3. Step 3: Cross multiply
    1,443.42x = 1,991.58 × 845.82
  4. Step 4: Simplify right side
    1,443.42x = 1,684,518.20
  5. Step 5: Solve for x
    x = 1,684,518.20/1,443.42
  6. Step 6: Final answer
    x = 1,167.03

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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.