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Finding the Fourth Proportional to 772.49, 1,066.11 and 423.23

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Solution

The fourth proportional to 772.49, 1,066.11 and 423.23 is: 584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.49 : 1,066.11 = 423.23 : x
  2. Step 2: Convert to fraction form
    772.49/1,066.11 = 423.23/x
  3. Step 3: Cross multiply
    772.49x = 1,066.11 × 423.23
  4. Step 4: Simplify right side
    772.49x = 451,204.40
  5. Step 5: Solve for x
    x = 451,204.40/772.49
  6. Step 6: Final answer
    x = 584.09

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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.