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Finding the Fourth Proportional to 836.30, 1,253.22 and 775.54

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Solution

The fourth proportional to 836.30, 1,253.22 and 775.54 is: 1,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.30 : 1,253.22 = 775.54 : x
  2. Step 2: Convert to fraction form
    836.30/1,253.22 = 775.54/x
  3. Step 3: Cross multiply
    836.30x = 1,253.22 × 775.54
  4. Step 4: Simplify right side
    836.30x = 971,922.24
  5. Step 5: Solve for x
    x = 971,922.24/836.30
  6. Step 6: Final answer
    x = 1,162.17

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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.