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Finding the Fourth Proportional to 836.44, 1,153.69 and 556.53

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Solution

The fourth proportional to 836.44, 1,153.69 and 556.53 is: 767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.44 : 1,153.69 = 556.53 : x
  2. Step 2: Convert to fraction form
    836.44/1,153.69 = 556.53/x
  3. Step 3: Cross multiply
    836.44x = 1,153.69 × 556.53
  4. Step 4: Simplify right side
    836.44x = 642,063.10
  5. Step 5: Solve for x
    x = 642,063.10/836.44
  6. Step 6: Final answer
    x = 767.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.