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Finding the Fourth Proportional to 736.86, 1,103.67 and 492.24

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Solution

The fourth proportional to 736.86, 1,103.67 and 492.24 is: 737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.86 : 1,103.67 = 492.24 : x
  2. Step 2: Convert to fraction form
    736.86/1,103.67 = 492.24/x
  3. Step 3: Cross multiply
    736.86x = 1,103.67 × 492.24
  4. Step 4: Simplify right side
    736.86x = 543,270.52
  5. Step 5: Solve for x
    x = 543,270.52/736.86
  6. Step 6: Final answer
    x = 737.28

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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.