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Finding the Fourth Proportional to 876.60, 1,314.27 and 443.52

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Solution

The fourth proportional to 876.60, 1,314.27 and 443.52 is: 664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,314.27 = 443.52 : x
  2. Step 2: Convert to fraction form
    876.60/1,314.27 = 443.52/x
  3. Step 3: Cross multiply
    876.60x = 1,314.27 × 443.52
  4. Step 4: Simplify right side
    876.60x = 582,905.03
  5. Step 5: Solve for x
    x = 582,905.03/876.60
  6. Step 6: Final answer
    x = 664.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.