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Finding the Fourth Proportional to 735.82, 1,015.34 and 421.07

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Solution

The fourth proportional to 735.82, 1,015.34 and 421.07 is: 581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.82 : 1,015.34 = 421.07 : x
  2. Step 2: Convert to fraction form
    735.82/1,015.34 = 421.07/x
  3. Step 3: Cross multiply
    735.82x = 1,015.34 × 421.07
  4. Step 4: Simplify right side
    735.82x = 427,522.03
  5. Step 5: Solve for x
    x = 427,522.03/735.82
  6. Step 6: Final answer
    x = 581.02

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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.