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Finding the Fourth Proportional to 1,249.77, 1,723.91 and 784.29

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Solution

The fourth proportional to 1,249.77, 1,723.91 and 784.29 is: 1,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.77 : 1,723.91 = 784.29 : x
  2. Step 2: Convert to fraction form
    1,249.77/1,723.91 = 784.29/x
  3. Step 3: Cross multiply
    1,249.77x = 1,723.91 × 784.29
  4. Step 4: Simplify right side
    1,249.77x = 1,352,041.45
  5. Step 5: Solve for x
    x = 1,352,041.45/1,249.77
  6. Step 6: Final answer
    x = 1,081.83

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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.