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Finding the Fourth Proportional to 800.93, 1,200.49 and 362.52

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Solution

The fourth proportional to 800.93, 1,200.49 and 362.52 is: 543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.93 : 1,200.49 = 362.52 : x
  2. Step 2: Convert to fraction form
    800.93/1,200.49 = 362.52/x
  3. Step 3: Cross multiply
    800.93x = 1,200.49 × 362.52
  4. Step 4: Simplify right side
    800.93x = 435,200.73
  5. Step 5: Solve for x
    x = 435,200.73/800.93
  6. Step 6: Final answer
    x = 543.37

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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.