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Finding the Fourth Proportional to 773.14, 1,066.92 and 419.07

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Solution

The fourth proportional to 773.14, 1,066.92 and 419.07 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,066.92 = 419.07 : x
  2. Step 2: Convert to fraction form
    773.14/1,066.92 = 419.07/x
  3. Step 3: Cross multiply
    773.14x = 1,066.92 × 419.07
  4. Step 4: Simplify right side
    773.14x = 447,112.63
  5. Step 5: Solve for x
    x = 447,112.63/773.14
  6. Step 6: Final answer
    x = 578.31

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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.