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Finding the Fourth Proportional to 1,249.82, 1,724.82 and 808.10

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Solution

The fourth proportional to 1,249.82, 1,724.82 and 808.10 is: 1,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.82 : 1,724.82 = 808.10 : x
  2. Step 2: Convert to fraction form
    1,249.82/1,724.82 = 808.10/x
  3. Step 3: Cross multiply
    1,249.82x = 1,724.82 × 808.10
  4. Step 4: Simplify right side
    1,249.82x = 1,393,827.04
  5. Step 5: Solve for x
    x = 1,393,827.04/1,249.82
  6. Step 6: Final answer
    x = 1,115.22

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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.