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Finding the Fourth Proportional to 823.69, 1,136.55 and 492.24

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Solution

The fourth proportional to 823.69, 1,136.55 and 492.24 is: 679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.69 : 1,136.55 = 492.24 : x
  2. Step 2: Convert to fraction form
    823.69/1,136.55 = 492.24/x
  3. Step 3: Cross multiply
    823.69x = 1,136.55 × 492.24
  4. Step 4: Simplify right side
    823.69x = 559,455.37
  5. Step 5: Solve for x
    x = 559,455.37/823.69
  6. Step 6: Final answer
    x = 679.21

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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.