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Finding the Fourth Proportional to 1,304.38, 1,956.75 and 438.94

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Solution

The fourth proportional to 1,304.38, 1,956.75 and 438.94 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.38 : 1,956.75 = 438.94 : x
  2. Step 2: Convert to fraction form
    1,304.38/1,956.75 = 438.94/x
  3. Step 3: Cross multiply
    1,304.38x = 1,956.75 × 438.94
  4. Step 4: Simplify right side
    1,304.38x = 858,895.85
  5. Step 5: Solve for x
    x = 858,895.85/1,304.38
  6. Step 6: Final answer
    x = 658.47

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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.