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Finding the Fourth Proportional to 836.05, 1,253.89 and 316.11

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Solution

The fourth proportional to 836.05, 1,253.89 and 316.11 is: 474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.05 : 1,253.89 = 316.11 : x
  2. Step 2: Convert to fraction form
    836.05/1,253.89 = 316.11/x
  3. Step 3: Cross multiply
    836.05x = 1,253.89 × 316.11
  4. Step 4: Simplify right side
    836.05x = 396,367.17
  5. Step 5: Solve for x
    x = 396,367.17/836.05
  6. Step 6: Final answer
    x = 474.10

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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.