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Finding the Fourth Proportional to 822.54, 1,231.07 and 513.32

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Solution

The fourth proportional to 822.54, 1,231.07 and 513.32 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.54 : 1,231.07 = 513.32 : x
  2. Step 2: Convert to fraction form
    822.54/1,231.07 = 513.32/x
  3. Step 3: Cross multiply
    822.54x = 1,231.07 × 513.32
  4. Step 4: Simplify right side
    822.54x = 631,924.13
  5. Step 5: Solve for x
    x = 631,924.13/822.54
  6. Step 6: Final answer
    x = 768.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.