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Finding the Fourth Proportional to 800.86, 1,200.57 and 287.74

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Solution

The fourth proportional to 800.86, 1,200.57 and 287.74 is: 431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.86 : 1,200.57 = 287.74 : x
  2. Step 2: Convert to fraction form
    800.86/1,200.57 = 287.74/x
  3. Step 3: Cross multiply
    800.86x = 1,200.57 × 287.74
  4. Step 4: Simplify right side
    800.86x = 345,452.01
  5. Step 5: Solve for x
    x = 345,452.01/800.86
  6. Step 6: Final answer
    x = 431.35

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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.