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Finding the Fourth Proportional to 1,304.22, 1,956.36 and 438.54

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Solution

The fourth proportional to 1,304.22, 1,956.36 and 438.54 is: 657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.22 : 1,956.36 = 438.54 : x
  2. Step 2: Convert to fraction form
    1,304.22/1,956.36 = 438.54/x
  3. Step 3: Cross multiply
    1,304.22x = 1,956.36 × 438.54
  4. Step 4: Simplify right side
    1,304.22x = 857,942.11
  5. Step 5: Solve for x
    x = 857,942.11/1,304.22
  6. Step 6: Final answer
    x = 657.82

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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.