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Finding the Fourth Proportional to 844.21, 1,165.01 and 494.88

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Solution

The fourth proportional to 844.21, 1,165.01 and 494.88 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.21 : 1,165.01 = 494.88 : x
  2. Step 2: Convert to fraction form
    844.21/1,165.01 = 494.88/x
  3. Step 3: Cross multiply
    844.21x = 1,165.01 × 494.88
  4. Step 4: Simplify right side
    844.21x = 576,540.15
  5. Step 5: Solve for x
    x = 576,540.15/844.21
  6. Step 6: Final answer
    x = 682.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.