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Finding the Fourth Proportional to 824.41, 1,236.62 and 701.89

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Solution

The fourth proportional to 824.41, 1,236.62 and 701.89 is: 1,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.41 : 1,236.62 = 701.89 : x
  2. Step 2: Convert to fraction form
    824.41/1,236.62 = 701.89/x
  3. Step 3: Cross multiply
    824.41x = 1,236.62 × 701.89
  4. Step 4: Simplify right side
    824.41x = 867,967.70
  5. Step 5: Solve for x
    x = 867,967.70/824.41
  6. Step 6: Final answer
    x = 1,052.84

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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.