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Finding the Fourth Proportional to 823.26, 1,136.08 and 512.94

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Solution

The fourth proportional to 823.26, 1,136.08 and 512.94 is: 707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,136.08 = 512.94 : x
  2. Step 2: Convert to fraction form
    823.26/1,136.08 = 512.94/x
  3. Step 3: Cross multiply
    823.26x = 1,136.08 × 512.94
  4. Step 4: Simplify right side
    823.26x = 582,740.88
  5. Step 5: Solve for x
    x = 582,740.88/823.26
  6. Step 6: Final answer
    x = 707.85

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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.