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Finding the Fourth Proportional to 1,249.10, 1,724.06 and 751.65

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Solution

The fourth proportional to 1,249.10, 1,724.06 and 751.65 is: 1,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.10 : 1,724.06 = 751.65 : x
  2. Step 2: Convert to fraction form
    1,249.10/1,724.06 = 751.65/x
  3. Step 3: Cross multiply
    1,249.10x = 1,724.06 × 751.65
  4. Step 4: Simplify right side
    1,249.10x = 1,295,889.70
  5. Step 5: Solve for x
    x = 1,295,889.70/1,249.10
  6. Step 6: Final answer
    x = 1,037.46

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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.