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Finding the Fourth Proportional to 1,428.80, 2,143.36 and 402.88

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Solution

The fourth proportional to 1,428.80, 2,143.36 and 402.88 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.80 : 2,143.36 = 402.88 : x
  2. Step 2: Convert to fraction form
    1,428.80/2,143.36 = 402.88/x
  3. Step 3: Cross multiply
    1,428.80x = 2,143.36 × 402.88
  4. Step 4: Simplify right side
    1,428.80x = 863,516.88
  5. Step 5: Solve for x
    x = 863,516.88/1,428.80
  6. Step 6: Final answer
    x = 604.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.