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Finding the Fourth Proportional to 773.60, 1,067.56 and 419.51

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Solution

The fourth proportional to 773.60, 1,067.56 and 419.51 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.60 : 1,067.56 = 419.51 : x
  2. Step 2: Convert to fraction form
    773.60/1,067.56 = 419.51/x
  3. Step 3: Cross multiply
    773.60x = 1,067.56 × 419.51
  4. Step 4: Simplify right side
    773.60x = 447,852.10
  5. Step 5: Solve for x
    x = 447,852.10/773.60
  6. Step 6: Final answer
    x = 578.92

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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.