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Finding the Fourth Proportional to 1,083.43, 1,624.86 and 303.38

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Solution

The fourth proportional to 1,083.43, 1,624.86 and 303.38 is: 454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.43 : 1,624.86 = 303.38 : x
  2. Step 2: Convert to fraction form
    1,083.43/1,624.86 = 303.38/x
  3. Step 3: Cross multiply
    1,083.43x = 1,624.86 × 303.38
  4. Step 4: Simplify right side
    1,083.43x = 492,954.09
  5. Step 5: Solve for x
    x = 492,954.09/1,083.43
  6. Step 6: Final answer
    x = 454.99

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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.