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Finding the Fourth Proportional to 825.12, 1,236.86 and 459.15

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Solution

The fourth proportional to 825.12, 1,236.86 and 459.15 is: 688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,236.86 = 459.15 : x
  2. Step 2: Convert to fraction form
    825.12/1,236.86 = 459.15/x
  3. Step 3: Cross multiply
    825.12x = 1,236.86 × 459.15
  4. Step 4: Simplify right side
    825.12x = 567,904.27
  5. Step 5: Solve for x
    x = 567,904.27/825.12
  6. Step 6: Final answer
    x = 688.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.