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Finding the Fourth Proportional to 825.84, 1,236.69 and 551.16

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Solution

The fourth proportional to 825.84, 1,236.69 and 551.16 is: 825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.84 : 1,236.69 = 551.16 : x
  2. Step 2: Convert to fraction form
    825.84/1,236.69 = 551.16/x
  3. Step 3: Cross multiply
    825.84x = 1,236.69 × 551.16
  4. Step 4: Simplify right side
    825.84x = 681,614.06
  5. Step 5: Solve for x
    x = 681,614.06/825.84
  6. Step 6: Final answer
    x = 825.36

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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.