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Finding the Fourth Proportional to 800.87, 1,103.44 and 538.43

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Solution

The fourth proportional to 800.87, 1,103.44 and 538.43 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.87 : 1,103.44 = 538.43 : x
  2. Step 2: Convert to fraction form
    800.87/1,103.44 = 538.43/x
  3. Step 3: Cross multiply
    800.87x = 1,103.44 × 538.43
  4. Step 4: Simplify right side
    800.87x = 594,125.20
  5. Step 5: Solve for x
    x = 594,125.20/800.87
  6. Step 6: Final answer
    x = 741.85

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