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Finding the Fourth Proportional to 1,382.48, 2,074.68 and 698.96

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Solution

The fourth proportional to 1,382.48, 2,074.68 and 698.96 is: 1,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.48 : 2,074.68 = 698.96 : x
  2. Step 2: Convert to fraction form
    1,382.48/2,074.68 = 698.96/x
  3. Step 3: Cross multiply
    1,382.48x = 2,074.68 × 698.96
  4. Step 4: Simplify right side
    1,382.48x = 1,450,118.33
  5. Step 5: Solve for x
    x = 1,450,118.33/1,382.48
  6. Step 6: Final answer
    x = 1,048.93

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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.