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Finding the Fourth Proportional to 1,249.02, 1,724.36 and 829.95

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Solution

The fourth proportional to 1,249.02, 1,724.36 and 829.95 is: 1,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.02 : 1,724.36 = 829.95 : x
  2. Step 2: Convert to fraction form
    1,249.02/1,724.36 = 829.95/x
  3. Step 3: Cross multiply
    1,249.02x = 1,724.36 × 829.95
  4. Step 4: Simplify right side
    1,249.02x = 1,431,121.97
  5. Step 5: Solve for x
    x = 1,431,121.97/1,249.02
  6. Step 6: Final answer
    x = 1,145.80

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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.