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Finding the Fourth Proportional to 1,304.50, 1,956.27 and 379.81

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Solution

The fourth proportional to 1,304.50, 1,956.27 and 379.81 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.50 : 1,956.27 = 379.81 : x
  2. Step 2: Convert to fraction form
    1,304.50/1,956.27 = 379.81/x
  3. Step 3: Cross multiply
    1,304.50x = 1,956.27 × 379.81
  4. Step 4: Simplify right side
    1,304.50x = 743,010.91
  5. Step 5: Solve for x
    x = 743,010.91/1,304.50
  6. Step 6: Final answer
    x = 569.58

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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.