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Finding the Fourth Proportional to 773.14, 1,066.94 and 423.83

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Solution

The fourth proportional to 773.14, 1,066.94 and 423.83 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,066.94 = 423.83 : x
  2. Step 2: Convert to fraction form
    773.14/1,066.94 = 423.83/x
  3. Step 3: Cross multiply
    773.14x = 1,066.94 × 423.83
  4. Step 4: Simplify right side
    773.14x = 452,201.18
  5. Step 5: Solve for x
    x = 452,201.18/773.14
  6. Step 6: Final answer
    x = 584.89

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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.