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Finding the Fourth Proportional to 836.22, 1,252.51 and 402.47

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Solution

The fourth proportional to 836.22, 1,252.51 and 402.47 is: 602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.22 : 1,252.51 = 402.47 : x
  2. Step 2: Convert to fraction form
    836.22/1,252.51 = 402.47/x
  3. Step 3: Cross multiply
    836.22x = 1,252.51 × 402.47
  4. Step 4: Simplify right side
    836.22x = 504,097.39
  5. Step 5: Solve for x
    x = 504,097.39/836.22
  6. Step 6: Final answer
    x = 602.83

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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.