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Finding the Fourth Proportional to 1,304.31, 1,956.33 and 380.13

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Solution

The fourth proportional to 1,304.31, 1,956.33 and 380.13 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.31 : 1,956.33 = 380.13 : x
  2. Step 2: Convert to fraction form
    1,304.31/1,956.33 = 380.13/x
  3. Step 3: Cross multiply
    1,304.31x = 1,956.33 × 380.13
  4. Step 4: Simplify right side
    1,304.31x = 743,659.72
  5. Step 5: Solve for x
    x = 743,659.72/1,304.31
  6. Step 6: Final answer
    x = 570.16

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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.