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Finding the Fourth Proportional to 1,074.54, 1,610.44 and 936.94

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Solution

The fourth proportional to 1,074.54, 1,610.44 and 936.94 is: 1,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.54 : 1,610.44 = 936.94 : x
  2. Step 2: Convert to fraction form
    1,074.54/1,610.44 = 936.94/x
  3. Step 3: Cross multiply
    1,074.54x = 1,610.44 × 936.94
  4. Step 4: Simplify right side
    1,074.54x = 1,508,885.65
  5. Step 5: Solve for x
    x = 1,508,885.65/1,074.54
  6. Step 6: Final answer
    x = 1,404.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.