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Finding the Fourth Proportional to 741.18, 1,022.82 and 409.62

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Solution

The fourth proportional to 741.18, 1,022.82 and 409.62 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.18 : 1,022.82 = 409.62 : x
  2. Step 2: Convert to fraction form
    741.18/1,022.82 = 409.62/x
  3. Step 3: Cross multiply
    741.18x = 1,022.82 × 409.62
  4. Step 4: Simplify right side
    741.18x = 418,967.53
  5. Step 5: Solve for x
    x = 418,967.53/741.18
  6. Step 6: Final answer
    x = 565.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.