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Finding the Fourth Proportional to 735.14, 1,014.50 and 416.09

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Solution

The fourth proportional to 735.14, 1,014.50 and 416.09 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.14 : 1,014.50 = 416.09 : x
  2. Step 2: Convert to fraction form
    735.14/1,014.50 = 416.09/x
  3. Step 3: Cross multiply
    735.14x = 1,014.50 × 416.09
  4. Step 4: Simplify right side
    735.14x = 422,121.22
  5. Step 5: Solve for x
    x = 422,121.22/735.14
  6. Step 6: Final answer
    x = 574.21

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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.