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Finding the Fourth Proportional to 836.63, 1,153.69 and 504.99

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Solution

The fourth proportional to 836.63, 1,153.69 and 504.99 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.63 : 1,153.69 = 504.99 : x
  2. Step 2: Convert to fraction form
    836.63/1,153.69 = 504.99/x
  3. Step 3: Cross multiply
    836.63x = 1,153.69 × 504.99
  4. Step 4: Simplify right side
    836.63x = 582,601.91
  5. Step 5: Solve for x
    x = 582,601.91/836.63
  6. Step 6: Final answer
    x = 696.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.