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Finding the Fourth Proportional to 735.94, 1,016.09 and 456.28

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Solution

The fourth proportional to 735.94, 1,016.09 and 456.28 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.94 : 1,016.09 = 456.28 : x
  2. Step 2: Convert to fraction form
    735.94/1,016.09 = 456.28/x
  3. Step 3: Cross multiply
    735.94x = 1,016.09 × 456.28
  4. Step 4: Simplify right side
    735.94x = 463,626.72
  5. Step 5: Solve for x
    x = 463,626.72/735.94
  6. Step 6: Final answer
    x = 629.98

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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.