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Finding the Fourth Proportional to 1,428.70, 2,143.12 and 454.87

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Solution

The fourth proportional to 1,428.70, 2,143.12 and 454.87 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.70 : 2,143.12 = 454.87 : x
  2. Step 2: Convert to fraction form
    1,428.70/2,143.12 = 454.87/x
  3. Step 3: Cross multiply
    1,428.70x = 2,143.12 × 454.87
  4. Step 4: Simplify right side
    1,428.70x = 974,848.14
  5. Step 5: Solve for x
    x = 974,848.14/1,428.70
  6. Step 6: Final answer
    x = 682.33

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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.