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Finding the Fourth Proportional to 730.36, 1,093.58 and 420.64

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Solution

The fourth proportional to 730.36, 1,093.58 and 420.64 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.36 : 1,093.58 = 420.64 : x
  2. Step 2: Convert to fraction form
    730.36/1,093.58 = 420.64/x
  3. Step 3: Cross multiply
    730.36x = 1,093.58 × 420.64
  4. Step 4: Simplify right side
    730.36x = 460,003.49
  5. Step 5: Solve for x
    x = 460,003.49/730.36
  6. Step 6: Final answer
    x = 629.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.