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Finding the Fourth Proportional to 736.47, 1,016.46 and 441.77

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Solution

The fourth proportional to 736.47, 1,016.46 and 441.77 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.47 : 1,016.46 = 441.77 : x
  2. Step 2: Convert to fraction form
    736.47/1,016.46 = 441.77/x
  3. Step 3: Cross multiply
    736.47x = 1,016.46 × 441.77
  4. Step 4: Simplify right side
    736.47x = 449,036.45
  5. Step 5: Solve for x
    x = 449,036.45/736.47
  6. Step 6: Final answer
    x = 609.71

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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.