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Finding the Fourth Proportional to 822.20, 1,232.30 and 562.20

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Solution

The fourth proportional to 822.20, 1,232.30 and 562.20 is: 842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.20 : 1,232.30 = 562.20 : x
  2. Step 2: Convert to fraction form
    822.20/1,232.30 = 562.20/x
  3. Step 3: Cross multiply
    822.20x = 1,232.30 × 562.20
  4. Step 4: Simplify right side
    822.20x = 692,799.06
  5. Step 5: Solve for x
    x = 692,799.06/822.20
  6. Step 6: Final answer
    x = 842.62

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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.