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Finding the Fourth Proportional to 824.38, 1,236.77 and 459.47

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Solution

The fourth proportional to 824.38, 1,236.77 and 459.47 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.38 : 1,236.77 = 459.47 : x
  2. Step 2: Convert to fraction form
    824.38/1,236.77 = 459.47/x
  3. Step 3: Cross multiply
    824.38x = 1,236.77 × 459.47
  4. Step 4: Simplify right side
    824.38x = 568,261.23
  5. Step 5: Solve for x
    x = 568,261.23/824.38
  6. Step 6: Final answer
    x = 689.32

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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.