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Finding the Fourth Proportional to 3,310.04, 4,964.95 and 844.85

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Solution

The fourth proportional to 3,310.04, 4,964.95 and 844.85 is: 1,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.04 : 4,964.95 = 844.85 : x
  2. Step 2: Convert to fraction form
    3,310.04/4,964.95 = 844.85/x
  3. Step 3: Cross multiply
    3,310.04x = 4,964.95 × 844.85
  4. Step 4: Simplify right side
    3,310.04x = 4,194,611.07
  5. Step 5: Solve for x
    x = 4,194,611.07/3,310.04
  6. Step 6: Final answer
    x = 1,267.24

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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.