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Finding the Fourth Proportional to 1,304.23, 1,956.63 and 379.85

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Solution

The fourth proportional to 1,304.23, 1,956.63 and 379.85 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.23 : 1,956.63 = 379.85 : x
  2. Step 2: Convert to fraction form
    1,304.23/1,956.63 = 379.85/x
  3. Step 3: Cross multiply
    1,304.23x = 1,956.63 × 379.85
  4. Step 4: Simplify right side
    1,304.23x = 743,230.80
  5. Step 5: Solve for x
    x = 743,230.80/1,304.23
  6. Step 6: Final answer
    x = 569.86

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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.