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Finding the Fourth Proportional to 735.13, 1,102.35 and 427.08

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Solution

The fourth proportional to 735.13, 1,102.35 and 427.08 is: 640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.13 : 1,102.35 = 427.08 : x
  2. Step 2: Convert to fraction form
    735.13/1,102.35 = 427.08/x
  3. Step 3: Cross multiply
    735.13x = 1,102.35 × 427.08
  4. Step 4: Simplify right side
    735.13x = 470,791.64
  5. Step 5: Solve for x
    x = 470,791.64/735.13
  6. Step 6: Final answer
    x = 640.42

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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.