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Finding the Fourth Proportional to 823.50, 1,136.46 and 474.24

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Solution

The fourth proportional to 823.50, 1,136.46 and 474.24 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,136.46 = 474.24 : x
  2. Step 2: Convert to fraction form
    823.50/1,136.46 = 474.24/x
  3. Step 3: Cross multiply
    823.50x = 1,136.46 × 474.24
  4. Step 4: Simplify right side
    823.50x = 538,954.79
  5. Step 5: Solve for x
    x = 538,954.79/823.50
  6. Step 6: Final answer
    x = 654.47

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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.