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Finding the Fourth Proportional to 1,428.81, 2,143.44 and 454.85

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Solution

The fourth proportional to 1,428.81, 2,143.44 and 454.85 is: 682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.81 : 2,143.44 = 454.85 : x
  2. Step 2: Convert to fraction form
    1,428.81/2,143.44 = 454.85/x
  3. Step 3: Cross multiply
    1,428.81x = 2,143.44 × 454.85
  4. Step 4: Simplify right side
    1,428.81x = 974,932.97
  5. Step 5: Solve for x
    x = 974,932.97/1,428.81
  6. Step 6: Final answer
    x = 682.34

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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.