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Finding the Fourth Proportional to 741.26, 1,022.93 and 409.66

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Solution

The fourth proportional to 741.26, 1,022.93 and 409.66 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,022.93 = 409.66 : x
  2. Step 2: Convert to fraction form
    741.26/1,022.93 = 409.66/x
  3. Step 3: Cross multiply
    741.26x = 1,022.93 × 409.66
  4. Step 4: Simplify right side
    741.26x = 419,051.46
  5. Step 5: Solve for x
    x = 419,051.46/741.26
  6. Step 6: Final answer
    x = 565.33

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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.