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Finding the Fourth Proportional to 735.41, 1,101.57 and 441.98

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Solution

The fourth proportional to 735.41, 1,101.57 and 441.98 is: 662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.41 : 1,101.57 = 441.98 : x
  2. Step 2: Convert to fraction form
    735.41/1,101.57 = 441.98/x
  3. Step 3: Cross multiply
    735.41x = 1,101.57 × 441.98
  4. Step 4: Simplify right side
    735.41x = 486,866.40
  5. Step 5: Solve for x
    x = 486,866.40/735.41
  6. Step 6: Final answer
    x = 662.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.