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Finding the Fourth Proportional to 1,304.29, 1,956.75 and 379.85

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Solution

The fourth proportional to 1,304.29, 1,956.75 and 379.85 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.29 : 1,956.75 = 379.85 : x
  2. Step 2: Convert to fraction form
    1,304.29/1,956.75 = 379.85/x
  3. Step 3: Cross multiply
    1,304.29x = 1,956.75 × 379.85
  4. Step 4: Simplify right side
    1,304.29x = 743,275.46
  5. Step 5: Solve for x
    x = 743,275.46/1,304.29
  6. Step 6: Final answer
    x = 569.87

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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.