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Finding the Fourth Proportional to 736.30, 1,103.64 and 446.86

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Solution

The fourth proportional to 736.30, 1,103.64 and 446.86 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.30 : 1,103.64 = 446.86 : x
  2. Step 2: Convert to fraction form
    736.30/1,103.64 = 446.86/x
  3. Step 3: Cross multiply
    736.30x = 1,103.64 × 446.86
  4. Step 4: Simplify right side
    736.30x = 493,172.57
  5. Step 5: Solve for x
    x = 493,172.57/736.30
  6. Step 6: Final answer
    x = 669.80

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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.