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Finding the Fourth Proportional to 823.83, 1,136.80 and 492.13

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Solution

The fourth proportional to 823.83, 1,136.80 and 492.13 is: 679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.83 : 1,136.80 = 492.13 : x
  2. Step 2: Convert to fraction form
    823.83/1,136.80 = 492.13/x
  3. Step 3: Cross multiply
    823.83x = 1,136.80 × 492.13
  4. Step 4: Simplify right side
    823.83x = 559,453.38
  5. Step 5: Solve for x
    x = 559,453.38/823.83
  6. Step 6: Final answer
    x = 679.09

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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.