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Finding the Fourth Proportional to 773.69, 1,067.40 and 458.96

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Solution

The fourth proportional to 773.69, 1,067.40 and 458.96 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.69 : 1,067.40 = 458.96 : x
  2. Step 2: Convert to fraction form
    773.69/1,067.40 = 458.96/x
  3. Step 3: Cross multiply
    773.69x = 1,067.40 × 458.96
  4. Step 4: Simplify right side
    773.69x = 489,888.57
  5. Step 5: Solve for x
    x = 489,888.57/773.69
  6. Step 6: Final answer
    x = 633.19

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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.