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Finding the Fourth Proportional to 823.50, 1,136.43 and 513

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Solution

The fourth proportional to 823.50, 1,136.43 and 513 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,136.43 = 513 : x
  2. Step 2: Convert to fraction form
    823.50/1,136.43 = 513/x
  3. Step 3: Cross multiply
    823.50x = 1,136.43 × 513
  4. Step 4: Simplify right side
    823.50x = 582,988.59
  5. Step 5: Solve for x
    x = 582,988.59/823.50
  6. Step 6: Final answer
    x = 707.94

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