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Finding the Fourth Proportional to 1,304.57, 1,956.91 and 427.12

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Solution

The fourth proportional to 1,304.57, 1,956.91 and 427.12 is: 640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.57 : 1,956.91 = 427.12 : x
  2. Step 2: Convert to fraction form
    1,304.57/1,956.91 = 427.12/x
  3. Step 3: Cross multiply
    1,304.57x = 1,956.91 × 427.12
  4. Step 4: Simplify right side
    1,304.57x = 835,828.37
  5. Step 5: Solve for x
    x = 835,828.37/1,304.57
  6. Step 6: Final answer
    x = 640.70

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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.