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Finding the Fourth Proportional to 800.66, 1,105.18 and 538.62

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Solution

The fourth proportional to 800.66, 1,105.18 and 538.62 is: 743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.66 : 1,105.18 = 538.62 : x
  2. Step 2: Convert to fraction form
    800.66/1,105.18 = 538.62/x
  3. Step 3: Cross multiply
    800.66x = 1,105.18 × 538.62
  4. Step 4: Simplify right side
    800.66x = 595,272.05
  5. Step 5: Solve for x
    x = 595,272.05/800.66
  6. Step 6: Final answer
    x = 743.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.