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Finding the Fourth Proportional to 736.20, 1,102.70 and 475.29

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Solution

The fourth proportional to 736.20, 1,102.70 and 475.29 is: 711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.20 : 1,102.70 = 475.29 : x
  2. Step 2: Convert to fraction form
    736.20/1,102.70 = 475.29/x
  3. Step 3: Cross multiply
    736.20x = 1,102.70 × 475.29
  4. Step 4: Simplify right side
    736.20x = 524,099.91
  5. Step 5: Solve for x
    x = 524,099.91/736.20
  6. Step 6: Final answer
    x = 711.90

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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.