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Finding the Fourth Proportional to 1,304.44, 1,956.74 and 438.88

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Solution

The fourth proportional to 1,304.44, 1,956.74 and 438.88 is: 658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.44 : 1,956.74 = 438.88 : x
  2. Step 2: Convert to fraction form
    1,304.44/1,956.74 = 438.88/x
  3. Step 3: Cross multiply
    1,304.44x = 1,956.74 × 438.88
  4. Step 4: Simplify right side
    1,304.44x = 858,774.05
  5. Step 5: Solve for x
    x = 858,774.05/1,304.44
  6. Step 6: Final answer
    x = 658.35

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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.