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Finding the Fourth Proportional to 1,482.92, 2,224.39 and 442.94

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Solution

The fourth proportional to 1,482.92, 2,224.39 and 442.94 is: 664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.92 : 2,224.39 = 442.94 : x
  2. Step 2: Convert to fraction form
    1,482.92/2,224.39 = 442.94/x
  3. Step 3: Cross multiply
    1,482.92x = 2,224.39 × 442.94
  4. Step 4: Simplify right side
    1,482.92x = 985,259.08
  5. Step 5: Solve for x
    x = 985,259.08/1,482.92
  6. Step 6: Final answer
    x = 664.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.