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Finding the Fourth Proportional to 1,482.80, 2,224.20 and 442.80

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Solution

The fourth proportional to 1,482.80, 2,224.20 and 442.80 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.80 : 2,224.20 = 442.80 : x
  2. Step 2: Convert to fraction form
    1,482.80/2,224.20 = 442.80/x
  3. Step 3: Cross multiply
    1,482.80x = 2,224.20 × 442.80
  4. Step 4: Simplify right side
    1,482.80x = 984,862.43
  5. Step 5: Solve for x
    x = 984,862.43/1,482.80
  6. Step 6: Final answer
    x = 664.19

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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.