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Finding the Fourth Proportional to 773.65, 1,067.62 and 424.33

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Solution

The fourth proportional to 773.65, 1,067.62 and 424.33 is: 585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.65 : 1,067.62 = 424.33 : x
  2. Step 2: Convert to fraction form
    773.65/1,067.62 = 424.33/x
  3. Step 3: Cross multiply
    773.65x = 1,067.62 × 424.33
  4. Step 4: Simplify right side
    773.65x = 453,023.19
  5. Step 5: Solve for x
    x = 453,023.19/773.65
  6. Step 6: Final answer
    x = 585.57

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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.