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Finding the Fourth Proportional to 824.08, 1,236.99 and 459.58

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Solution

The fourth proportional to 824.08, 1,236.99 and 459.58 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.08 : 1,236.99 = 459.58 : x
  2. Step 2: Convert to fraction form
    824.08/1,236.99 = 459.58/x
  3. Step 3: Cross multiply
    824.08x = 1,236.99 × 459.58
  4. Step 4: Simplify right side
    824.08x = 568,495.86
  5. Step 5: Solve for x
    x = 568,495.86/824.08
  6. Step 6: Final answer
    x = 689.86

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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.