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Finding the Fourth Proportional to 822.56, 1,232.90 and 360.26

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Solution

The fourth proportional to 822.56, 1,232.90 and 360.26 is: 539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.56 : 1,232.90 = 360.26 : x
  2. Step 2: Convert to fraction form
    822.56/1,232.90 = 360.26/x
  3. Step 3: Cross multiply
    822.56x = 1,232.90 × 360.26
  4. Step 4: Simplify right side
    822.56x = 444,164.55
  5. Step 5: Solve for x
    x = 444,164.55/822.56
  6. Step 6: Final answer
    x = 539.98

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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.