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Finding the Fourth Proportional to 736.32, 1,103.36 and 475.52

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Solution

The fourth proportional to 736.32, 1,103.36 and 475.52 is: 712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.32 : 1,103.36 = 475.52 : x
  2. Step 2: Convert to fraction form
    736.32/1,103.36 = 475.52/x
  3. Step 3: Cross multiply
    736.32x = 1,103.36 × 475.52
  4. Step 4: Simplify right side
    736.32x = 524,669.75
  5. Step 5: Solve for x
    x = 524,669.75/736.32
  6. Step 6: Final answer
    x = 712.56

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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.