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Finding the Fourth Proportional to 735.50, 1,015.03 and 436.78

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Solution

The fourth proportional to 735.50, 1,015.03 and 436.78 is: 602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 1,015.03 = 436.78 : x
  2. Step 2: Convert to fraction form
    735.50/1,015.03 = 436.78/x
  3. Step 3: Cross multiply
    735.50x = 1,015.03 × 436.78
  4. Step 4: Simplify right side
    735.50x = 443,344.80
  5. Step 5: Solve for x
    x = 443,344.80/735.50
  6. Step 6: Final answer
    x = 602.78

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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.