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Finding the Fourth Proportional to 735.45, 1,014.90 and 420.73

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Solution

The fourth proportional to 735.45, 1,014.90 and 420.73 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,014.90 = 420.73 : x
  2. Step 2: Convert to fraction form
    735.45/1,014.90 = 420.73/x
  3. Step 3: Cross multiply
    735.45x = 1,014.90 × 420.73
  4. Step 4: Simplify right side
    735.45x = 426,998.88
  5. Step 5: Solve for x
    x = 426,998.88/735.45
  6. Step 6: Final answer
    x = 580.60

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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.