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Finding the Fourth Proportional to 1,483.05, 2,224.82 and 456.81

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Solution

The fourth proportional to 1,483.05, 2,224.82 and 456.81 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.05 : 2,224.82 = 456.81 : x
  2. Step 2: Convert to fraction form
    1,483.05/2,224.82 = 456.81/x
  3. Step 3: Cross multiply
    1,483.05x = 2,224.82 × 456.81
  4. Step 4: Simplify right side
    1,483.05x = 1,016,320.02
  5. Step 5: Solve for x
    x = 1,016,320.02/1,483.05
  6. Step 6: Final answer
    x = 685.29

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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.