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Finding the Fourth Proportional to 822.07, 1,232.66 and 562.37

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Solution

The fourth proportional to 822.07, 1,232.66 and 562.37 is: 843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.07 : 1,232.66 = 562.37 : x
  2. Step 2: Convert to fraction form
    822.07/1,232.66 = 562.37/x
  3. Step 3: Cross multiply
    822.07x = 1,232.66 × 562.37
  4. Step 4: Simplify right side
    822.07x = 693,202.03
  5. Step 5: Solve for x
    x = 693,202.03/822.07
  6. Step 6: Final answer
    x = 843.24

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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.