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Finding the Fourth Proportional to 1,304.20, 1,956.24 and 654.44

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Solution

The fourth proportional to 1,304.20, 1,956.24 and 654.44 is: 981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.20 : 1,956.24 = 654.44 : x
  2. Step 2: Convert to fraction form
    1,304.20/1,956.24 = 654.44/x
  3. Step 3: Cross multiply
    1,304.20x = 1,956.24 × 654.44
  4. Step 4: Simplify right side
    1,304.20x = 1,280,241.71
  5. Step 5: Solve for x
    x = 1,280,241.71/1,304.20
  6. Step 6: Final answer
    x = 981.63

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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.