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Finding the Fourth Proportional to 1,198.81, 1,653.36 and 750.65

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Solution

The fourth proportional to 1,198.81, 1,653.36 and 750.65 is: 1,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.81 : 1,653.36 = 750.65 : x
  2. Step 2: Convert to fraction form
    1,198.81/1,653.36 = 750.65/x
  3. Step 3: Cross multiply
    1,198.81x = 1,653.36 × 750.65
  4. Step 4: Simplify right side
    1,198.81x = 1,241,094.68
  5. Step 5: Solve for x
    x = 1,241,094.68/1,198.81
  6. Step 6: Final answer
    x = 1,035.27

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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.