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Finding the Fourth Proportional to 1,463.11, 2,194.66 and 596.81

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Solution

The fourth proportional to 1,463.11, 2,194.66 and 596.81 is: 895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.11 : 2,194.66 = 596.81 : x
  2. Step 2: Convert to fraction form
    1,463.11/2,194.66 = 596.81/x
  3. Step 3: Cross multiply
    1,463.11x = 2,194.66 × 596.81
  4. Step 4: Simplify right side
    1,463.11x = 1,309,801.27
  5. Step 5: Solve for x
    x = 1,309,801.27/1,463.11
  6. Step 6: Final answer
    x = 895.22

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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.