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Finding the Fourth Proportional to 741.31, 1,022.95 and 409.71

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Solution

The fourth proportional to 741.31, 1,022.95 and 409.71 is: 565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.31 : 1,022.95 = 409.71 : x
  2. Step 2: Convert to fraction form
    741.31/1,022.95 = 409.71/x
  3. Step 3: Cross multiply
    741.31x = 1,022.95 × 409.71
  4. Step 4: Simplify right side
    741.31x = 419,112.59
  5. Step 5: Solve for x
    x = 419,112.59/741.31
  6. Step 6: Final answer
    x = 565.37

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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.