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Finding the Fourth Proportional to 823.79, 1,136.55 and 513.27

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Solution

The fourth proportional to 823.79, 1,136.55 and 513.27 is: 708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.79 : 1,136.55 = 513.27 : x
  2. Step 2: Convert to fraction form
    823.79/1,136.55 = 513.27/x
  3. Step 3: Cross multiply
    823.79x = 1,136.55 × 513.27
  4. Step 4: Simplify right side
    823.79x = 583,357.02
  5. Step 5: Solve for x
    x = 583,357.02/823.79
  6. Step 6: Final answer
    x = 708.14

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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.