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Finding the Fourth Proportional to 736.28, 1,015.81 and 456.23

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Solution

The fourth proportional to 736.28, 1,015.81 and 456.23 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.28 : 1,015.81 = 456.23 : x
  2. Step 2: Convert to fraction form
    736.28/1,015.81 = 456.23/x
  3. Step 3: Cross multiply
    736.28x = 1,015.81 × 456.23
  4. Step 4: Simplify right side
    736.28x = 463,435.64
  5. Step 5: Solve for x
    x = 463,435.64/736.28
  6. Step 6: Final answer
    x = 629.43

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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.