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Finding the Fourth Proportional to 822.80, 1,232.40 and 389.60

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Solution

The fourth proportional to 822.80, 1,232.40 and 389.60 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.80 : 1,232.40 = 389.60 : x
  2. Step 2: Convert to fraction form
    822.80/1,232.40 = 389.60/x
  3. Step 3: Cross multiply
    822.80x = 1,232.40 × 389.60
  4. Step 4: Simplify right side
    822.80x = 480,143.04
  5. Step 5: Solve for x
    x = 480,143.04/822.80
  6. Step 6: Final answer
    x = 583.55

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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.