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Finding the Fourth Proportional to 736.64, 1,016.54 and 441.94

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Solution

The fourth proportional to 736.64, 1,016.54 and 441.94 is: 609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.64 : 1,016.54 = 441.94 : x
  2. Step 2: Convert to fraction form
    736.64/1,016.54 = 441.94/x
  3. Step 3: Cross multiply
    736.64x = 1,016.54 × 441.94
  4. Step 4: Simplify right side
    736.64x = 449,249.69
  5. Step 5: Solve for x
    x = 449,249.69/736.64
  6. Step 6: Final answer
    x = 609.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.