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Finding the Fourth Proportional to 735.09, 1,014.25 and 420.27

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Solution

The fourth proportional to 735.09, 1,014.25 and 420.27 is: 579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.09 : 1,014.25 = 420.27 : x
  2. Step 2: Convert to fraction form
    735.09/1,014.25 = 420.27/x
  3. Step 3: Cross multiply
    735.09x = 1,014.25 × 420.27
  4. Step 4: Simplify right side
    735.09x = 426,258.85
  5. Step 5: Solve for x
    x = 426,258.85/735.09
  6. Step 6: Final answer
    x = 579.87

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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.