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Finding the Fourth Proportional to 741.20, 1,022.82 and 409.61

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Solution

The fourth proportional to 741.20, 1,022.82 and 409.61 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.20 : 1,022.82 = 409.61 : x
  2. Step 2: Convert to fraction form
    741.20/1,022.82 = 409.61/x
  3. Step 3: Cross multiply
    741.20x = 1,022.82 × 409.61
  4. Step 4: Simplify right side
    741.20x = 418,956.93
  5. Step 5: Solve for x
    x = 418,956.93/741.20
  6. Step 6: Final answer
    x = 565.24

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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.