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Finding the Fourth Proportional to 1,462.28, 2,194.01 and 596.39

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Solution

The fourth proportional to 1,462.28, 2,194.01 and 596.39 is: 894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.28 : 2,194.01 = 596.39 : x
  2. Step 2: Convert to fraction form
    1,462.28/2,194.01 = 596.39/x
  3. Step 3: Cross multiply
    1,462.28x = 2,194.01 × 596.39
  4. Step 4: Simplify right side
    1,462.28x = 1,308,485.62
  5. Step 5: Solve for x
    x = 1,308,485.62/1,462.28
  6. Step 6: Final answer
    x = 894.83

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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.