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Finding the Fourth Proportional to 741.31, 1,022.98 and 409.74

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Solution

The fourth proportional to 741.31, 1,022.98 and 409.74 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.31 : 1,022.98 = 409.74 : x
  2. Step 2: Convert to fraction form
    741.31/1,022.98 = 409.74/x
  3. Step 3: Cross multiply
    741.31x = 1,022.98 × 409.74
  4. Step 4: Simplify right side
    741.31x = 419,155.83
  5. Step 5: Solve for x
    x = 419,155.83/741.31
  6. Step 6: Final answer
    x = 565.43

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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.