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Finding the Fourth Proportional to 735.53, 1,015.07 and 420.84

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Solution

The fourth proportional to 735.53, 1,015.07 and 420.84 is: 580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.53 : 1,015.07 = 420.84 : x
  2. Step 2: Convert to fraction form
    735.53/1,015.07 = 420.84/x
  3. Step 3: Cross multiply
    735.53x = 1,015.07 × 420.84
  4. Step 4: Simplify right side
    735.53x = 427,179.95
  5. Step 5: Solve for x
    x = 427,179.95/735.53
  6. Step 6: Final answer
    x = 580.78

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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.