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Finding the Fourth Proportional to 1,292.38, 1,938.68 and 402.85

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Solution

The fourth proportional to 1,292.38, 1,938.68 and 402.85 is: 604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.38 : 1,938.68 = 402.85 : x
  2. Step 2: Convert to fraction form
    1,292.38/1,938.68 = 402.85/x
  3. Step 3: Cross multiply
    1,292.38x = 1,938.68 × 402.85
  4. Step 4: Simplify right side
    1,292.38x = 780,995.97
  5. Step 5: Solve for x
    x = 780,995.97/1,292.38
  6. Step 6: Final answer
    x = 604.31

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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.