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Finding the Fourth Proportional to 844.16, 1,266.26 and 459.68

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Solution

The fourth proportional to 844.16, 1,266.26 and 459.68 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.16 : 1,266.26 = 459.68 : x
  2. Step 2: Convert to fraction form
    844.16/1,266.26 = 459.68/x
  3. Step 3: Cross multiply
    844.16x = 1,266.26 × 459.68
  4. Step 4: Simplify right side
    844.16x = 582,074.40
  5. Step 5: Solve for x
    x = 582,074.40/844.16
  6. Step 6: Final answer
    x = 689.53

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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.