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Finding the Fourth Proportional to 3,304.88, 4,958.08 and 964.92

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Solution

The fourth proportional to 3,304.88, 4,958.08 and 964.92 is: 1,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.88 : 4,958.08 = 964.92 : x
  2. Step 2: Convert to fraction form
    3,304.88/4,958.08 = 964.92/x
  3. Step 3: Cross multiply
    3,304.88x = 4,958.08 × 964.92
  4. Step 4: Simplify right side
    3,304.88x = 4,784,150.55
  5. Step 5: Solve for x
    x = 4,784,150.55/3,304.88
  6. Step 6: Final answer
    x = 1,447.60

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1.5x scale

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.