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Finding the Fourth Proportional to 773.04, 1,066.81 and 418.97

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Solution

The fourth proportional to 773.04, 1,066.81 and 418.97 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.04 : 1,066.81 = 418.97 : x
  2. Step 2: Convert to fraction form
    773.04/1,066.81 = 418.97/x
  3. Step 3: Cross multiply
    773.04x = 1,066.81 × 418.97
  4. Step 4: Simplify right side
    773.04x = 446,956.22
  5. Step 5: Solve for x
    x = 446,956.22/773.04
  6. Step 6: Final answer
    x = 578.18

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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.