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Finding the Fourth Proportional to 1,428.98, 2,143.40 and 455.09

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Solution

The fourth proportional to 1,428.98, 2,143.40 and 455.09 is: 682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.98 : 2,143.40 = 455.09 : x
  2. Step 2: Convert to fraction form
    1,428.98/2,143.40 = 455.09/x
  3. Step 3: Cross multiply
    1,428.98x = 2,143.40 × 455.09
  4. Step 4: Simplify right side
    1,428.98x = 975,426.91
  5. Step 5: Solve for x
    x = 975,426.91/1,428.98
  6. Step 6: Final answer
    x = 682.61

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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.