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Finding the Fourth Proportional to 737.48, 1,103.46 and 445.10

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Solution

The fourth proportional to 737.48, 1,103.46 and 445.10 is: 665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.48 : 1,103.46 = 445.10 : x
  2. Step 2: Convert to fraction form
    737.48/1,103.46 = 445.10/x
  3. Step 3: Cross multiply
    737.48x = 1,103.46 × 445.10
  4. Step 4: Simplify right side
    737.48x = 491,150.05
  5. Step 5: Solve for x
    x = 491,150.05/737.48
  6. Step 6: Final answer
    x = 665.98

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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.