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Finding the Fourth Proportional to 736.05, 1,102.83 and 446.88

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Solution

The fourth proportional to 736.05, 1,102.83 and 446.88 is: 669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.05 : 1,102.83 = 446.88 : x
  2. Step 2: Convert to fraction form
    736.05/1,102.83 = 446.88/x
  3. Step 3: Cross multiply
    736.05x = 1,102.83 × 446.88
  4. Step 4: Simplify right side
    736.05x = 492,832.67
  5. Step 5: Solve for x
    x = 492,832.67/736.05
  6. Step 6: Final answer
    x = 669.56

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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.