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Finding the Fourth Proportional to 741.06, 1,022.64 and 409.49

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Solution

The fourth proportional to 741.06, 1,022.64 and 409.49 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.06 : 1,022.64 = 409.49 : x
  2. Step 2: Convert to fraction form
    741.06/1,022.64 = 409.49/x
  3. Step 3: Cross multiply
    741.06x = 1,022.64 × 409.49
  4. Step 4: Simplify right side
    741.06x = 418,755.74
  5. Step 5: Solve for x
    x = 418,755.74/741.06
  6. Step 6: Final answer
    x = 565.08

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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.