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Finding the Fourth Proportional to 822.44, 1,232.51 and 529.44

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Solution

The fourth proportional to 822.44, 1,232.51 and 529.44 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,232.51 = 529.44 : x
  2. Step 2: Convert to fraction form
    822.44/1,232.51 = 529.44/x
  3. Step 3: Cross multiply
    822.44x = 1,232.51 × 529.44
  4. Step 4: Simplify right side
    822.44x = 652,537.45
  5. Step 5: Solve for x
    x = 652,537.45/822.44
  6. Step 6: Final answer
    x = 793.42

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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.