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Finding the Fourth Proportional to 1,191.39, 1,787.09 and 325.71

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Solution

The fourth proportional to 1,191.39, 1,787.09 and 325.71 is: 488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.39 : 1,787.09 = 325.71 : x
  2. Step 2: Convert to fraction form
    1,191.39/1,787.09 = 325.71/x
  3. Step 3: Cross multiply
    1,191.39x = 1,787.09 × 325.71
  4. Step 4: Simplify right side
    1,191.39x = 582,071.46
  5. Step 5: Solve for x
    x = 582,071.46/1,191.39
  6. Step 6: Final answer
    x = 488.57

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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.