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Finding the Fourth Proportional to 3,304.26, 4,956.56 and 839.10

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Solution

The fourth proportional to 3,304.26, 4,956.56 and 839.10 is: 1,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.26 : 4,956.56 = 839.10 : x
  2. Step 2: Convert to fraction form
    3,304.26/4,956.56 = 839.10/x
  3. Step 3: Cross multiply
    3,304.26x = 4,956.56 × 839.10
  4. Step 4: Simplify right side
    3,304.26x = 4,159,049.50
  5. Step 5: Solve for x
    x = 4,159,049.50/3,304.26
  6. Step 6: Final answer
    x = 1,258.69

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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.