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Finding the Fourth Proportional to 823.99, 1,137.13 and 451.00

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Solution

The fourth proportional to 823.99, 1,137.13 and 451.00 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.99 : 1,137.13 = 451.00 : x
  2. Step 2: Convert to fraction form
    823.99/1,137.13 = 451.00/x
  3. Step 3: Cross multiply
    823.99x = 1,137.13 × 451.00
  4. Step 4: Simplify right side
    823.99x = 512,839.94
  5. Step 5: Solve for x
    x = 512,839.94/823.99
  6. Step 6: Final answer
    x = 622.39

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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.