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Finding the Fourth Proportional to 1,304.02, 1,954.81 and 437.73

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Solution

The fourth proportional to 1,304.02, 1,954.81 and 437.73 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.02 : 1,954.81 = 437.73 : x
  2. Step 2: Convert to fraction form
    1,304.02/1,954.81 = 437.73/x
  3. Step 3: Cross multiply
    1,304.02x = 1,954.81 × 437.73
  4. Step 4: Simplify right side
    1,304.02x = 855,667.02
  5. Step 5: Solve for x
    x = 855,667.02/1,304.02
  6. Step 6: Final answer
    x = 656.18

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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.