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Finding the Fourth Proportional to 741.29, 1,022.96 and 409.71

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Solution

The fourth proportional to 741.29, 1,022.96 and 409.71 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.29 : 1,022.96 = 409.71 : x
  2. Step 2: Convert to fraction form
    741.29/1,022.96 = 409.71/x
  3. Step 3: Cross multiply
    741.29x = 1,022.96 × 409.71
  4. Step 4: Simplify right side
    741.29x = 419,114.89
  5. Step 5: Solve for x
    x = 419,114.89/741.29
  6. Step 6: Final answer
    x = 565.39

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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.