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Finding the Fourth Proportional to 1,304.11, 1,956.13 and 330.22

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Solution

The fourth proportional to 1,304.11, 1,956.13 and 330.22 is: 495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.11 : 1,956.13 = 330.22 : x
  2. Step 2: Convert to fraction form
    1,304.11/1,956.13 = 330.22/x
  3. Step 3: Cross multiply
    1,304.11x = 1,956.13 × 330.22
  4. Step 4: Simplify right side
    1,304.11x = 645,953.25
  5. Step 5: Solve for x
    x = 645,953.25/1,304.11
  6. Step 6: Final answer
    x = 495.32

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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.