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Finding the Fourth Proportional to 741.10, 1,022.71 and 409.53

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Solution

The fourth proportional to 741.10, 1,022.71 and 409.53 is: 565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.10 : 1,022.71 = 409.53 : x
  2. Step 2: Convert to fraction form
    741.10/1,022.71 = 409.53/x
  3. Step 3: Cross multiply
    741.10x = 1,022.71 × 409.53
  4. Step 4: Simplify right side
    741.10x = 418,830.43
  5. Step 5: Solve for x
    x = 418,830.43/741.10
  6. Step 6: Final answer
    x = 565.15

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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.