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Finding the Fourth Proportional to 1,191.44, 1,787.16 and 325.76

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Solution

The fourth proportional to 1,191.44, 1,787.16 and 325.76 is: 488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.44 : 1,787.16 = 325.76 : x
  2. Step 2: Convert to fraction form
    1,191.44/1,787.16 = 325.76/x
  3. Step 3: Cross multiply
    1,191.44x = 1,787.16 × 325.76
  4. Step 4: Simplify right side
    1,191.44x = 582,177.53
  5. Step 5: Solve for x
    x = 582,177.53/1,191.44
  6. Step 6: Final answer
    x = 488.63

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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.