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Finding the Fourth Proportional to 1,304.35, 1,956.06 and 654.64

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Solution

The fourth proportional to 1,304.35, 1,956.06 and 654.64 is: 981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.35 : 1,956.06 = 654.64 : x
  2. Step 2: Convert to fraction form
    1,304.35/1,956.06 = 654.64/x
  3. Step 3: Cross multiply
    1,304.35x = 1,956.06 × 654.64
  4. Step 4: Simplify right side
    1,304.35x = 1,280,515.12
  5. Step 5: Solve for x
    x = 1,280,515.12/1,304.35
  6. Step 6: Final answer
    x = 981.73

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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.