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Finding the Fourth Proportional to 1,448.02, 1,998.24 and 784.86

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Solution

The fourth proportional to 1,448.02, 1,998.24 and 784.86 is: 1,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.02 : 1,998.24 = 784.86 : x
  2. Step 2: Convert to fraction form
    1,448.02/1,998.24 = 784.86/x
  3. Step 3: Cross multiply
    1,448.02x = 1,998.24 × 784.86
  4. Step 4: Simplify right side
    1,448.02x = 1,568,338.65
  5. Step 5: Solve for x
    x = 1,568,338.65/1,448.02
  6. Step 6: Final answer
    x = 1,083.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.