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Finding the Fourth Proportional to 741.02, 1,022.57 and 409.43

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Solution

The fourth proportional to 741.02, 1,022.57 and 409.43 is: 564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.02 : 1,022.57 = 409.43 : x
  2. Step 2: Convert to fraction form
    741.02/1,022.57 = 409.43/x
  3. Step 3: Cross multiply
    741.02x = 1,022.57 × 409.43
  4. Step 4: Simplify right side
    741.02x = 418,663.68
  5. Step 5: Solve for x
    x = 418,663.68/741.02
  6. Step 6: Final answer
    x = 564.99

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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.