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Finding the Fourth Proportional to 823.35, 1,136.26 and 450.35

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Solution

The fourth proportional to 823.35, 1,136.26 and 450.35 is: 621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.35 : 1,136.26 = 450.35 : x
  2. Step 2: Convert to fraction form
    823.35/1,136.26 = 450.35/x
  3. Step 3: Cross multiply
    823.35x = 1,136.26 × 450.35
  4. Step 4: Simplify right side
    823.35x = 511,713.83
  5. Step 5: Solve for x
    x = 511,713.83/823.35
  6. Step 6: Final answer
    x = 621.50

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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.