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Finding the Fourth Proportional to 773.13, 1,066.86 and 441.54

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Solution

The fourth proportional to 773.13, 1,066.86 and 441.54 is: 609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.13 : 1,066.86 = 441.54 : x
  2. Step 2: Convert to fraction form
    773.13/1,066.86 = 441.54/x
  3. Step 3: Cross multiply
    773.13x = 1,066.86 × 441.54
  4. Step 4: Simplify right side
    773.13x = 471,061.36
  5. Step 5: Solve for x
    x = 471,061.36/773.13
  6. Step 6: Final answer
    x = 609.29

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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.