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Finding the Fourth Proportional to 1,304.14, 1,956.21 and 316.95

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Solution

The fourth proportional to 1,304.14, 1,956.21 and 316.95 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.14 : 1,956.21 = 316.95 : x
  2. Step 2: Convert to fraction form
    1,304.14/1,956.21 = 316.95/x
  3. Step 3: Cross multiply
    1,304.14x = 1,956.21 × 316.95
  4. Step 4: Simplify right side
    1,304.14x = 620,019.17
  5. Step 5: Solve for x
    x = 620,019.17/1,304.14
  6. Step 6: Final answer
    x = 475.43

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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.