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Finding the Fourth Proportional to 1,447.93, 1,998.15 and 784.79

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Solution

The fourth proportional to 1,447.93, 1,998.15 and 784.79 is: 1,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.93 : 1,998.15 = 784.79 : x
  2. Step 2: Convert to fraction form
    1,447.93/1,998.15 = 784.79/x
  3. Step 3: Cross multiply
    1,447.93x = 1,998.15 × 784.79
  4. Step 4: Simplify right side
    1,447.93x = 1,568,128.14
  5. Step 5: Solve for x
    x = 1,568,128.14/1,447.93
  6. Step 6: Final answer
    x = 1,083.01

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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.