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Finding the Fourth Proportional to 772.67, 1,066.29 and 423.33

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Solution

The fourth proportional to 772.67, 1,066.29 and 423.33 is: 584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.67 : 1,066.29 = 423.33 : x
  2. Step 2: Convert to fraction form
    772.67/1,066.29 = 423.33/x
  3. Step 3: Cross multiply
    772.67x = 1,066.29 × 423.33
  4. Step 4: Simplify right side
    772.67x = 451,396.80
  5. Step 5: Solve for x
    x = 451,396.80/772.67
  6. Step 6: Final answer
    x = 584.21

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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.