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Finding the Fourth Proportional to 844.10, 1,164.39 and 494.72

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Solution

The fourth proportional to 844.10, 1,164.39 and 494.72 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.10 : 1,164.39 = 494.72 : x
  2. Step 2: Convert to fraction form
    844.10/1,164.39 = 494.72/x
  3. Step 3: Cross multiply
    844.10x = 1,164.39 × 494.72
  4. Step 4: Simplify right side
    844.10x = 576,047.02
  5. Step 5: Solve for x
    x = 576,047.02/844.10
  6. Step 6: Final answer
    x = 682.44

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Double scale
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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.