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Finding the Fourth Proportional to 1,304.45, 1,956.34 and 380.11

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Solution

The fourth proportional to 1,304.45, 1,956.34 and 380.11 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.45 : 1,956.34 = 380.11 : x
  2. Step 2: Convert to fraction form
    1,304.45/1,956.34 = 380.11/x
  3. Step 3: Cross multiply
    1,304.45x = 1,956.34 × 380.11
  4. Step 4: Simplify right side
    1,304.45x = 743,614.86
  5. Step 5: Solve for x
    x = 743,614.86/1,304.45
  6. Step 6: Final answer
    x = 570.06

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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.