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Finding the Fourth Proportional to 1,304.39, 1,956.62 and 438.71

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Solution

The fourth proportional to 1,304.39, 1,956.62 and 438.71 is: 658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.39 : 1,956.62 = 438.71 : x
  2. Step 2: Convert to fraction form
    1,304.39/1,956.62 = 438.71/x
  3. Step 3: Cross multiply
    1,304.39x = 1,956.62 × 438.71
  4. Step 4: Simplify right side
    1,304.39x = 858,378.98
  5. Step 5: Solve for x
    x = 858,378.98/1,304.39
  6. Step 6: Final answer
    x = 658.07

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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.