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Finding the Fourth Proportional to 1,249.73, 1,724.08 and 807.67

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Solution

The fourth proportional to 1,249.73, 1,724.08 and 807.67 is: 1,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.73 : 1,724.08 = 807.67 : x
  2. Step 2: Convert to fraction form
    1,249.73/1,724.08 = 807.67/x
  3. Step 3: Cross multiply
    1,249.73x = 1,724.08 × 807.67
  4. Step 4: Simplify right side
    1,249.73x = 1,392,487.69
  5. Step 5: Solve for x
    x = 1,392,487.69/1,249.73
  6. Step 6: Final answer
    x = 1,114.23

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Why These Related Problems?

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