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Finding the Fourth Proportional to 1,191.91, 1,787.23 and 460.75

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Solution

The fourth proportional to 1,191.91, 1,787.23 and 460.75 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.91 : 1,787.23 = 460.75 : x
  2. Step 2: Convert to fraction form
    1,191.91/1,787.23 = 460.75/x
  3. Step 3: Cross multiply
    1,191.91x = 1,787.23 × 460.75
  4. Step 4: Simplify right side
    1,191.91x = 823,466.22
  5. Step 5: Solve for x
    x = 823,466.22/1,191.91
  6. Step 6: Final answer
    x = 690.88

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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.