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Finding the Fourth Proportional to 1,304.39, 1,956.48 and 482.28

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Solution

The fourth proportional to 1,304.39, 1,956.48 and 482.28 is: 723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.39 : 1,956.48 = 482.28 : x
  2. Step 2: Convert to fraction form
    1,304.39/1,956.48 = 482.28/x
  3. Step 3: Cross multiply
    1,304.39x = 1,956.48 × 482.28
  4. Step 4: Simplify right side
    1,304.39x = 943,571.17
  5. Step 5: Solve for x
    x = 943,571.17/1,304.39
  6. Step 6: Final answer
    x = 723.38

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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.