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Finding the Fourth Proportional to 735.48, 1,100.46 and 443.10

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Solution

The fourth proportional to 735.48, 1,100.46 and 443.10 is: 662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.48 : 1,100.46 = 443.10 : x
  2. Step 2: Convert to fraction form
    735.48/1,100.46 = 443.10/x
  3. Step 3: Cross multiply
    735.48x = 1,100.46 × 443.10
  4. Step 4: Simplify right side
    735.48x = 487,613.83
  5. Step 5: Solve for x
    x = 487,613.83/735.48
  6. Step 6: Final answer
    x = 662.99

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