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Finding the Fourth Proportional to 1,191.27, 1,787.21 and 460.65

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Solution

The fourth proportional to 1,191.27, 1,787.21 and 460.65 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.27 : 1,787.21 = 460.65 : x
  2. Step 2: Convert to fraction form
    1,191.27/1,787.21 = 460.65/x
  3. Step 3: Cross multiply
    1,191.27x = 1,787.21 × 460.65
  4. Step 4: Simplify right side
    1,191.27x = 823,275.98
  5. Step 5: Solve for x
    x = 823,275.98/1,191.27
  6. Step 6: Final answer
    x = 691.09

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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.