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Finding the Fourth Proportional to 737.60, 1,105.38 and 463.54

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Solution

The fourth proportional to 737.60, 1,105.38 and 463.54 is: 694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.60 : 1,105.38 = 463.54 : x
  2. Step 2: Convert to fraction form
    737.60/1,105.38 = 463.54/x
  3. Step 3: Cross multiply
    737.60x = 1,105.38 × 463.54
  4. Step 4: Simplify right side
    737.60x = 512,387.85
  5. Step 5: Solve for x
    x = 512,387.85/737.60
  6. Step 6: Final answer
    x = 694.67

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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.