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Finding the Fourth Proportional to 1,249.40, 1,724.74 and 777.44

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Solution

The fourth proportional to 1,249.40, 1,724.74 and 777.44 is: 1,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.40 : 1,724.74 = 777.44 : x
  2. Step 2: Convert to fraction form
    1,249.40/1,724.74 = 777.44/x
  3. Step 3: Cross multiply
    1,249.40x = 1,724.74 × 777.44
  4. Step 4: Simplify right side
    1,249.40x = 1,340,881.87
  5. Step 5: Solve for x
    x = 1,340,881.87/1,249.40
  6. Step 6: Final answer
    x = 1,073.22

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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.