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Finding the Fourth Proportional to 1,428.34, 2,142.82 and 454.52

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Solution

The fourth proportional to 1,428.34, 2,142.82 and 454.52 is: 681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.34 : 2,142.82 = 454.52 : x
  2. Step 2: Convert to fraction form
    1,428.34/2,142.82 = 454.52/x
  3. Step 3: Cross multiply
    1,428.34x = 2,142.82 × 454.52
  4. Step 4: Simplify right side
    1,428.34x = 973,954.55
  5. Step 5: Solve for x
    x = 973,954.55/1,428.34
  6. Step 6: Final answer
    x = 681.88

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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.